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472125433932 = 223261311691297
BaseRepresentation
bin1101101111011001101…
…11100110100001001100
31200010122020022001002200
412313230313212201030
530213403102341212
61000520314321500
746052464655025
oct6675467464114
91603566261080
10472125433932
11172255554439
1277601a29290
13356a120a3b9
1418bcb1a5c4c
15c4338e76dc
hex6decde684c

472125433932 has 72 divisors (see below), whose sum is σ = 1216894634592. Its totient is φ = 154297267200.

The previous prime is 472125433903. The next prime is 472125433937. The reversal of 472125433932 is 239334521274.

472125433932 is a `hidden beast` number, since 4 + 7 + 2 + 1 + 254 + 3 + 393 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (472125433937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337308 + ... + 1028604.

Almost surely, 2472125433932 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 472125433932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608447317296).

472125433932 is an abundant number, since it is smaller than the sum of its proper divisors (744769200660).

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

472125433932 is a wasteful number, since it uses less digits than its factorization.

472125433932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691679 (or 691674 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 472125433932 in words is "four hundred seventy-two billion, one hundred twenty-five million, four hundred thirty-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 311 366 549 622 732 933 1098 1244 1866 2196 2799 3732 5598 11196 18971 37942 56913 75884 113826 170739 227652 341478 682956 691297 1382594 2073891 2765188 4147782 6221673 8295564 12443346 24886692 42169117 84338234 126507351 168676468 214993367 253014702 379522053 429986734 506029404 644980101 759044106 859973468 1289960202 1518088212 1934940303 2579920404 3869880606 7739761212 13114595387 26229190774 39343786161 52458381548 78687572322 118031358483 157375144644 236062716966 472125433932