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57291429690 = 232511243122347
BaseRepresentation
bin110101010110110101…
…011101011100111010
312110212201221011210100
4311112311131130322
51414313101222230
642152550100230
74065510055155
oct652665353472
9173781834710
1057291429690
112232a578100
12b12a94a676
135530562871
142ab6c6cc9c
151754a78660
hexd56d5d73a

57291429690 has 144 divisors (see below), whose sum is σ = 167539436064. Its totient is φ = 13565724480.

The previous prime is 57291429677. The next prime is 57291429691. The reversal of 57291429690 is 9692419275.

57291429690 is a `hidden beast` number, since 5 + 72 + 91 + 429 + 69 + 0 = 666.

It is a super-2 number, since 2×572914296902 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57291429691) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 407097 + ... + 529443.

It is an arithmetic number, because the mean of its divisors is an integer number (1163468306).

Almost surely, 257291429690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57291429690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83769718032).

57291429690 is an abundant number, since it is smaller than the sum of its proper divisors (110248006374).

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

57291429690 is a wasteful number, since it uses less digits than its factorization.

57291429690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122425 (or 122411 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 57291429690 in words is "fifty-seven billion, two hundred ninety-one million, four hundred twenty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 121 129 165 198 215 242 258 330 363 387 430 473 495 605 645 726 774 946 990 1089 1210 1290 1419 1815 1935 2178 2365 2838 3630 3870 4257 4730 5203 5445 7095 8514 10406 10890 14190 15609 21285 26015 31218 42570 46827 52030 78045 93654 122347 156090 234135 244694 367041 468270 611735 734082 1101123 1223470 1345817 1835205 2202246 2691634 3670410 4037451 5260921 5505615 6729085 8074902 10521842 11011230 12112353 13458170 14803987 15782763 20187255 24224706 26304605 29607974 31565526 40374510 44411961 47348289 52609210 57870131 60561765 74019935 78913815 88823922 94696578 115740262 121123530 133235883 148039870 157827630 173610393 222059805 236741445 266471766 289350655 347220786 444119610 473482890 520831179 578701310 636571441 666179415 868051965 1041662358 1273142882 1332358830 1736103930 1909714323 2604155895 3182857205 3819428646 5208311790 5729142969 6365714410 9548571615 11458285938 19097143230 28645714845 57291429690