Search a number
-
+
107544454748664 = 233191789131829571
BaseRepresentation
bin11000011100111110100101…
…000001011101100111111000
3112002210011000221221102202020
4120130332211001131213320
5103044002020403424124
61020421123535034440
731436554562334303
oct3034764501354770
9462704027842666
10107544454748664
11312a339003361a
121008aa0436ba20
13480152486353b
141c7b272325b3a
15c67728739379
hex61cfa505d9f8

107544454748664 has 64 divisors (see below), whose sum is σ = 283169920656000. Its totient is φ = 33942423047040.

The previous prime is 107544454748657. The next prime is 107544454748671. The reversal of 107544454748664 is 466847454445701.

It is an interprime number because it is at equal distance from previous prime (107544454748657) and next prime (107544454748671).

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, 65099002 + ... + 66730569.

It is an arithmetic number, because the mean of its divisors is an integer number (4424530010250).

Almost surely, 2107544454748664 is an apocalyptic number.

It is an amenable number.

107544454748664 is an abundant number, since it is smaller than the sum of its proper divisors (175625465907336).

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

107544454748664 is a wasteful number, since it uses less digits than its factorization.

107544454748664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131831388 (or 131831384 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 69.

The spelling of 107544454748664 in words is "one hundred seven trillion, five hundred forty-four billion, four hundred fifty-four million, seven hundred forty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1789 3578 5367 7156 10734 14312 21468 33991 42936 67982 101973 135964 203946 271928 407892 815784 131829571 263659142 395488713 527318284 790977426 1054636568 1581954852 2504761849 3163909704 5009523698 7514285547 10019047396 15028571094 20038094792 30057142188 60114284376 235843102519 471686205038 707529307557 943372410076 1415058615114 1886744820152 2830117230228 4481018947861 5660234460456 8962037895722 13443056843583 17924075791444 26886113687166 35848151582888 53772227374332 107544454748664