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10411350052432 = 2472343611540859
BaseRepresentation
bin1001011110000001010011…
…0100100100111001010000
31100212022111212221000201111
42113200110310210321100
52331034421103134212
634050524100143104
72123123650164220
oct227402464447120
940768455830644
1010411350052432
11335447975483a
121201958097a94
135a6a2b095204
1427dcaa884080
15130c52ec4ea7
hex97814d24e50

10411350052432 has 160 divisors (see below), whose sum is σ = 25019030108160. Its totient is φ = 4100408040960.

The previous prime is 10411350052429. The next prime is 10411350052447. The reversal of 10411350052432 is 23425005311401.

It is a super-3 number, since 3×104113500524323 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10411350052394 and 10411350052403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5986419 + ... + 7527277.

It is an arithmetic number, because the mean of its divisors is an integer number (156368938176).

Almost surely, 210411350052432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10411350052432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509515054080).

10411350052432 is an abundant number, since it is smaller than the sum of its proper divisors (14607680055728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10411350052432 is a wasteful number, since it uses less digits than its factorization.

10411350052432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541001 (or 1540995 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 10411350052432 its reverse (23425005311401), we get a palindrome (33836355363833).

The spelling of 10411350052432 in words is "ten trillion, four hundred eleven billion, three hundred fifty million, fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 43 46 56 61 86 92 112 122 161 172 184 244 301 322 344 368 427 488 602 644 688 854 976 989 1204 1288 1403 1708 1978 2408 2576 2623 2806 3416 3956 4816 5246 5612 6832 6923 7912 9821 10492 11224 13846 15824 18361 19642 20984 22448 27692 36722 39284 41968 55384 60329 73444 78568 110768 120658 146888 157136 241316 293776 422303 482632 844606 965264 1540859 1689212 3081718 3378424 6163436 6756848 10786013 12326872 21572026 24653744 35439757 43144052 66256937 70879514 86288104 93992399 132513874 141759028 172576208 187984798 248078299 265027748 283518056 375969596 463798559 496156598 530055496 567036112 657946793 751939192 927597118 992313196 1060110992 1315893586 1503878384 1523909551 1855194236 1984626392 2161825177 2631787172 3047819102 3710388472 3969252784 4041673157 4323650354 5263574344 6095638204 7420776944 8083346314 8647300708 10527148688 10667366857 12191276408 15132776239 16166692628 17294601416 21334733714 24382552816 28291712099 30265552478 32333385256 34589202832 42669467428 56583424198 60531104956 64666770512 85338934856 92958482611 113166848396 121062209912 170677869712 185916965222 226333696792 242124419824 371833930444 452667393584 650709378277 743667860888 1301418756554 1487335721776 2602837513108 5205675026216 10411350052432