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2145027996252 = 22323140915672999
BaseRepresentation
bin11111001101101101101…
…000011011101001011100
321121001200200121101220200
4133031231220123221130
5240121004131340002
64321225014143500
7310654536063411
oct37155550335134
97531620541820
102145027996252
11757779423a29
122a7879651b90
13127376a07b7b
1475b69b8a108
153abe5335b1c
hex1f36da1ba5c

2145027996252 has 144 divisors (see below), whose sum is σ = 5616199680000. Its totient is φ = 689582211840.

The previous prime is 2145027996247. The next prime is 2145027996313. The reversal of 2145027996252 is 2526997205412.

2145027996252 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 0 + 2 + 7 + 9 + 9 + 625 + 2 = 666.

It is a super-2 number, since 2×21450279962522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715246249 + ... + 715249247.

Almost surely, 22145027996252 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 2145027996252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808099840000).

2145027996252 is an abundant number, since it is smaller than the sum of its proper divisors (3471171683748).

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

2145027996252 is a wasteful number, since it uses less digits than its factorization.

2145027996252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2145027996252 in words is "two trillion, one hundred forty-five billion, twenty-seven million, nine hundred ninety-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 409 558 818 1116 1227 1567 1636 2454 2999 3134 3681 4701 4908 5998 6268 7362 8997 9402 11996 12679 14103 14724 17994 18804 25358 26991 28206 35988 38037 48577 50716 53982 56412 76074 92969 97154 107964 114111 145731 152148 185938 194308 228222 278907 291462 371876 437193 456444 557814 582924 640903 836721 874386 1115628 1226591 1281806 1673442 1748772 1922709 2453182 2563612 3346884 3679773 3845418 4699433 4906364 5768127 7359546 7690836 9398866 11039319 11536254 14098299 14719092 18797732 19867993 22078638 23072508 28196598 38024321 39735986 42294897 44157276 56393196 59603979 76048642 79471972 84589794 114072963 119207958 145682423 152097284 169179588 178811937 228145926 238415916 291364846 342218889 357623874 437047269 456291852 582729692 684437778 715247748 874094538 1311141807 1368875556 1748189076 1922068097 2622283614 3844136194 5244567228 5766204291 7688272388 11532408582 17298612873 23064817164 34597225746 59584111007 69194451492 119168222014 178752333021 238336444028 357504666042 536256999063 715009332084 1072513998126 2145027996252