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100091584117048 = 234313715591362299
BaseRepresentation
bin10110110000100001100011…
…010100001111100100111000
3111010101122212120222201110211
4112300201203110033210320
5101104400031013221143
6552513234452120504
730040243522244656
oct2660414324174470
9433348776881424
10100091584117048
112998a669940907
12b286505006134
1343b07991cc794
141aa065c26bdd6
15b88929c5e49d
hex5b086350f938

100091584117048 has 64 divisors (see below), whose sum is σ = 193562123040000. Its totient is φ = 48493972568832.

The previous prime is 100091584116949. The next prime is 100091584117069. The reversal of 100091584117048 is 840711485190001.

It is a happy number.

It is a super-2 number, since 2×1000915841170482 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100091584116992 and 100091584117010.

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, 72791403 + ... + 74153701.

It is an arithmetic number, because the mean of its divisors is an integer number (3024408172500).

Almost surely, 2100091584117048 is an apocalyptic number.

It is an amenable number.

100091584117048 is a deficient number, since it is larger than the sum of its proper divisors (93470538922952).

100091584117048 is a wasteful number, since it uses less digits than its factorization.

100091584117048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364044 (or 1364040 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 49.

The spelling of 100091584117048 in words is "one hundred trillion, ninety-one billion, five hundred eighty-four million, one hundred seventeen thousand, forty-eight".

Divisors: 1 2 4 8 43 86 137 172 274 344 548 1096 1559 3118 5891 6236 11782 12472 23564 47128 67037 134074 213583 268148 427166 536296 854332 1362299 1708664 2724598 5449196 9184069 10898392 18368138 36736276 58578857 73472552 117157714 186634963 234315428 373269926 468630856 746539852 1493079704 2123824141 4247648282 8025303409 8495296564 16050606818 16990593128 32101213636 64202427272 91324438063 182648876126 290963907317 365297752252 581927814634 730595504504 1163855629268 2327711258536 12511448014631 25022896029262 50045792058524 100091584117048