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10060040001630 = 2354759659183503
BaseRepresentation
bin1001001001100100100100…
…0111000101100001011110
31022121201201111002100111110
42102121021013011201132
52304310430220023010
633221304002402450
72055546112054653
oct222311107054136
938551644070443
1010060040001630
113229491352983
121165853060426
1357c871c7cbc8
1426aca1035c2a
15126a40e48120
hex926491c585e

10060040001630 has 128 divisors (see below), whose sum is σ = 25113917030400. Its totient is φ = 2577166680704.

The previous prime is 10060040001619. The next prime is 10060040001631. The reversal of 10060040001630 is 3610004006001.

It is a junction number, because it is equal to n+sod(n) for n = 10060040001597 and 10060040001606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10060040001631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54730459 + ... + 54913961.

It is an arithmetic number, because the mean of its divisors is an integer number (196202476800).

Almost surely, 210060040001630 is an apocalyptic number.

10060040001630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10060040001630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12556958515200).

10060040001630 is an abundant number, since it is smaller than the sum of its proper divisors (15053877028770).

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

10060040001630 is a wasteful number, since it uses less digits than its factorization.

10060040001630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184278.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10060040001630 its reverse (3610004006001), we get a palindrome (13670044007631).

The spelling of 10060040001630 in words is "ten trillion, sixty billion, forty million, one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 59 94 118 141 177 235 282 295 354 470 590 659 705 885 1318 1410 1770 1977 2773 3295 3954 5546 6590 8319 9885 13865 16638 19770 27730 30973 38881 41595 61946 77762 83190 92919 116643 154865 183503 185838 194405 233286 309730 367006 388810 464595 550509 583215 917515 929190 1101018 1166430 1827407 1835030 2752545 3654814 5482221 5505090 8624641 9137035 10826677 10964442 17249282 18274070 21653354 25873923 27411105 32480031 43123205 51747846 54133385 54822210 64960062 86246410 108266770 120928477 129369615 162400155 241856954 258739230 324800310 362785431 508853819 604642385 725570862 1017707638 1209284770 1526561457 1813927155 2544269095 3053122914 3627854310 5088538190 5683638419 7134780143 7632807285 11367276838 14269560286 15265614570 17050915257 21404340429 28418192095 34101830514 35673900715 42808680858 56836384190 71347801430 85254576285 107021702145 170509152570 214043404290 335334666721 670669333442 1006004000163 1676673333605 2012008000326 3353346667210 5030020000815 10060040001630