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10270369400640 = 263535330306803
BaseRepresentation
bin1001010101110100000110…
…1110000100011101000000
31100100211121200221212121120
42111131001232010131000
52321232204031310030
633502050443352240
72110003220336616
oct225350156043500
940324550855546
1010270369400640
1132aa703862478
12119a571b22680
135966512ab8ab
14277134d036b6
1512c251145010
hex95741b84740

10270369400640 has 112 divisors (see below), whose sum is σ = 32700799061568. Its totient is φ = 2731006541824.

The previous prime is 10270369400611. The next prime is 10270369400657. The reversal of 10270369400640 is 4600496307201.

It is a junction number, because it is equal to n+sod(n) for n = 10270369400592 and 10270369400601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14814522 + ... + 15492281.

Almost surely, 210270369400640 is an apocalyptic number.

10270369400640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10270369400640 is an abundant number, since it is smaller than the sum of its proper divisors (22430429660928).

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

10270369400640 is a wasteful number, since it uses less digits than its factorization.

10270369400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30307176 (or 30307166 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 10270369400640 in words is "ten trillion, two hundred seventy billion, three hundred sixty-nine million, four hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 353 480 706 960 1059 1412 1765 2118 2824 3530 4236 5295 5648 7060 8472 10590 11296 14120 16944 21180 22592 28240 33888 42360 56480 67776 84720 112960 169440 338880 30306803 60613606 90920409 121227212 151534015 181840818 242454424 303068030 363681636 454602045 484908848 606136060 727363272 909204090 969817696 1212272120 1454726544 1818408180 1939635392 2424544240 2909453088 3636816360 4849088480 5818906176 7273632720 9698176960 10698301459 14547265440 21396602918 29094530880 32094904377 42793205836 53491507295 64189808754 85586411672 106983014590 128379617508 160474521885 171172823344 213966029180 256759235016 320949043770 342345646688 427932058360 513518470032 641898087540 684691293376 855864116720 1027036940064 1283796175080 1711728233440 2054073880128 2567592350160 3423456466880 5135184700320 10270369400640