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57532330704672 = 253433629660029
BaseRepresentation
bin11010001010011010010100…
…01000100111111100100000
321112201001000001020220220000
431011031022020213330200
530020102203130022142
6322205553213220000
715055400534133135
oct1505151210477440
9245631001226800
1057532330704672
11173713628aa86a
126552199191600
132614377397245
14102c81885058c
1569b83450514c
hex34534a227f20

57532330704672 has 120 divisors (see below), whose sum is σ = 169206274244700. Its totient is φ = 19176844248576.

The previous prime is 57532330704659. The next prime is 57532330704707. The reversal of 57532330704672 is 27640703323575.

57532330704672 is a `hidden beast` number, since 5 + 7 + 5 + 323 + 307 + 0 + 4 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57055120538256 + 477210166416 = 7553484^2 + 690804^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86836354 + ... + 87496382.

Almost surely, 257532330704672 is an apocalyptic number.

It is an amenable number.

57532330704672 is an abundant number, since it is smaller than the sum of its proper divisors (111673943540028).

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

57532330704672 is a wasteful number, since it uses less digits than its factorization.

57532330704672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693680 (or 693663 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 54.

The spelling of 57532330704672 in words is "fifty-seven trillion, five hundred thirty-two billion, three hundred thirty million, seven hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 33629 67258 100887 134516 201774 269032 302661 403548 538064 605322 660029 807096 907983 1076128 1210644 1320058 1614192 1815966 1980087 2421288 2640116 2723949 3228384 3631932 3960174 4842576 5280232 5447898 5940261 7263864 7920348 9685152 10560464 10895796 11880522 14527728 15840696 17820783 21120928 21791592 23761044 29055456 31681392 35641566 43583184 47522088 53462349 63362784 71283132 87166368 95044176 106924698 142566264 190088352 213849396 285132528 427698792 570265056 855397584 1710795168 22196115241 44392230482 66588345723 88784460964 133176691446 177568921928 199765037169 266353382892 355137843856 399530074338 532706765784 599295111507 710275687712 799060148676 1065413531568 1198590223014 1598120297352 1797885334521 2130827063136 2397180446028 3196240594704 3595770669042 4794360892056 6392481189408 7191541338084 9588721784112 14383082676168 19177443568224 28766165352336 57532330704672