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100462420242604 = 22729534138956401
BaseRepresentation
bin10110110101111010111010…
…110111110011000010101100
3111011201010001210120202201201
4112311322322313303002230
5101131434014040230404
6553355444305215244
730106112266303660
oct2665727267630254
9434633053522651
10100462420242604
112a0129671a4732
12b326359331524
134409747766a84
141ab459b0768a0
15b933d113eca4
hex5b5ebadf30ac

100462420242604 has 96 divisors (see below), whose sum is σ = 211783914921600. Its totient is φ = 40784596070400.

The previous prime is 100462420242599. The next prime is 100462420242643. The reversal of 100462420242604 is 406242024264001.

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, 1781188804 + ... + 1781245204.

It is an arithmetic number, because the mean of its divisors is an integer number (2206082447100).

Almost surely, 2100462420242604 is an apocalyptic number.

100462420242604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100462420242604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105891957460800).

100462420242604 is an abundant number, since it is smaller than the sum of its proper divisors (111321494678996).

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

100462420242604 is a wasteful number, since it uses less digits than its factorization.

100462420242604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97883 (or 97881 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 100462420242604 in words is "one hundred trillion, four hundred sixty-two billion, four hundred twenty million, two hundred forty-two thousand, six hundred four".

Divisors: 1 2 4 7 14 28 29 53 58 106 116 203 212 371 406 742 812 1484 1537 3074 6148 10759 21518 41389 43036 56401 82778 112802 165556 225604 289723 394807 579446 789614 1158892 1200281 1579228 1635629 2193617 2400562 2989253 3271258 4387234 4801124 5978506 6542516 8401967 8774468 11449403 11957012 15355319 16803934 20924771 22898806 30710638 33607868 41849542 45797612 61421276 63614893 83699084 86688337 127229786 173376674 254459572 346753348 445304251 606818359 890608502 1213636718 1781217004 2334380989 2427273436 4668761978 9337523956 16340666923 32681333846 65362667692 67697048681 123722192417 135394097362 247444384834 270788194724 473879340767 494888769668 866055346919 947758681534 1732110693838 1895517363068 3464221387676 3587943580093 7175887160186 14351774320372 25115605060651 50231210121302 100462420242604