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157033465212 = 223133146217027
BaseRepresentation
bin1001001000111111101…
…1001000010101111100
3120000022221011120022010
42102033323020111330
510033101031341322
6200050140051220
714226302300511
oct2221773102574
9500287146263
10157033465212
116066332a718
1226526233b10
1311a677a16b0
14785993d308
15414130920c
hex248fec857c

157033465212 has 96 divisors (see below), whose sum is σ = 407471970304. Its totient is φ = 46742572800.

The previous prime is 157033465187. The next prime is 157033465219. The reversal of 157033465212 is 212564330751.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157033465219) 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, 22343643 + ... + 22350669.

Almost surely, 2157033465212 is an apocalyptic number.

157033465212 is a gapful number since it is divisible by the number (12) 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 157033465212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203735985152).

157033465212 is an abundant number, since it is smaller than the sum of its proper divisors (250438505092).

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

157033465212 is a wasteful number, since it uses less digits than its factorization.

157033465212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11699 (or 11697 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

Adding to 157033465212 its reverse (212564330751), we get a palindrome (369597795963).

The spelling of 157033465212 in words is "one hundred fifty-seven billion, thirty-three million, four hundred sixty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 4621 4836 7027 9242 13863 14054 18484 21081 27726 28108 42162 55452 60073 84324 91351 120146 143251 180219 182702 217837 240292 274053 286502 360438 365404 429753 435674 548106 573004 653511 720876 859506 871348 1096212 1307022 1719012 1862263 2614044 2831881 3724526 5586789 5663762 7449052 8495643 11173578 11327524 16991286 22347156 32471767 33982572 64943534 97415301 129887068 194830602 389661204 422132971 844265942 1006624777 1266398913 1688531884 2013249554 2532797826 3019874331 4026499108 5065595652 6039748662 12079497324 13086122101 26172244202 39258366303 52344488404 78516732606 157033465212