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107512552260408 = 233176122371931093
BaseRepresentation
bin11000011100100000110111…
…011111001000001100111000
3112002200002200121210010010010
4120130200313133020030320
5103042441201334313113
61020354330142021520
731434345161553411
oct3034406737101470
9462602617703103
10107512552260408
11312908a99a4a49
12100847a02778a0
1347cb50c2a6159
141c798c7366808
15c669acab01c3
hex61c8377c8338

107512552260408 has 128 divisors (see below), whose sum is σ = 289386949389120. Its totient is φ = 33161638748160.

The previous prime is 107512552260403. The next prime is 107512552260431. The reversal of 107512552260408 is 804062255215701.

It is a super-2 number, since 2×1075125522604082 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107512552260403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54708910 + ... + 56640002.

Almost surely, 2107512552260408 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 107512552260408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144693474694560).

107512552260408 is an abundant number, since it is smaller than the sum of its proper divisors (181874397128712).

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

107512552260408 is a wasteful number, since it uses less digits than its factorization.

107512552260408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933417 (or 1933413 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 107512552260408 in words is "one hundred seven trillion, five hundred twelve billion, five hundred fifty-two million, two hundred sixty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 366 408 488 732 1037 1464 2074 2237 3111 4148 4474 6222 6711 8296 8948 12444 13422 17896 24888 26844 38029 53688 76058 114087 136457 152116 228174 272914 304232 409371 456348 545828 818742 912696 1091656 1637484 1931093 2319769 3274968 3862186 4639538 5793279 6959307 7724372 9279076 11586558 13918614 15448744 18558152 23173116 27837228 32828581 46346232 55674456 65657162 98485743 117796673 131314324 196971486 235593346 262628648 353390019 393942972 471186692 706780038 787885944 942373384 1413560076 2002543441 2827120152 4005086882 4319855041 6007630323 8010173764 8639710082 12015260646 12959565123 16020347528 17279420164 24030521292 25919130246 34558840328 48061042584 51838260492 73437535697 103676520984 146875071394 220312607091 263511157501 293750142788 440625214182 527022315002 587500285576 790533472503 881250428364 1054044630004 1581066945006 1762500856728 2108089260008 3162133890012 4479689677517 6324267780024 8959379355034 13439069032551 17918758710068 26878138065102 35837517420136 53756276130204 107512552260408