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57490781674816 = 2671924112801363
BaseRepresentation
bin11010001001001100111011…
…00111101001110101000000
321112120001202102102111220101
431010212131213221311000
530013412110102043231
6322134522301252144
715052400110200250
oct1504463547516500
9245501672374811
1057490781674816
1117355781523766
126546122564054
132610485416a89
14102a7d6659960
1569a701a3b661
hex34499d9e9d40

57490781674816 has 112 divisors (see below), whose sum is σ = 137300004149760. Its totient is φ = 23332432043520.

The previous prime is 57490781674771. The next prime is 57490781674817. The reversal of 57490781674816 is 61847618709475.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57490781674817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19121751 + ... + 21923113.

Almost surely, 257490781674816 is an apocalyptic number.

57490781674816 is a gapful number since it is divisible by the number (56) 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 57490781674816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68650002074880).

57490781674816 is an abundant number, since it is smaller than the sum of its proper divisors (79809222474944).

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

57490781674816 is a wasteful number, since it uses less digits than its factorization.

57490781674816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803812 (or 2803802 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 73.

The spelling of 57490781674816 in words is "fifty-seven trillion, four hundred ninety billion, seven hundred eighty-one million, six hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 2411 4256 4822 8512 9644 16877 19288 33754 38576 45809 67508 77152 91618 135016 154304 183236 270032 320663 366472 540064 641326 732944 1080128 1282652 1465888 2565304 2801363 2931776 5130608 5602726 10261216 11205452 19609541 20522432 22410904 39219082 44821808 53225897 78438164 89643616 106451794 156876328 179287232 212903588 313752656 372581279 425807176 627505312 745162558 851614352 1255010624 1490325116 1703228704 2980650232 3406457408 5961300464 6754086193 11922600928 13508172386 23845201856 27016344772 47278603351 54032689544 94557206702 108065379088 128327637667 189114413404 216130758176 256655275334 378228826808 432261516352 513310550668 756457653616 898293463669 1026621101336 1512915307232 1796586927338 2053242202672 3025830614464 3593173854676 4106484405344 7186347709352 8212968810688 14372695418704 28745390837408 57490781674816