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53513147856 = 2437317516841
BaseRepresentation
bin110001110101101000…
…011101010111010000
312010010102102120111010
4301311220131113100
51334043331212411
640330020250520
73603051152220
oct616550352720
9163112376433
1053513147856
1120770860033
12a455540a40
13507a86093c
142839152080
1515d2eec7a6
hexc75a1d5d0

53513147856 has 160 divisors (see below), whose sum is σ = 163328720896. Its totient is φ = 14774400000.

The previous prime is 53513147819. The next prime is 53513147861. The reversal of 53513147856 is 65874131535.

53513147856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7818996 + ... + 7825836.

Almost surely, 253513147856 is an apocalyptic number.

53513147856 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 53513147856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81664360448).

53513147856 is an abundant number, since it is smaller than the sum of its proper divisors (109815573040).

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

53513147856 is a wasteful number, since it uses less digits than its factorization.

53513147856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641 (or 7635 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The spelling of 53513147856 in words is "fifty-three billion, five hundred thirteen million, one hundred forty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 751 868 1302 1488 1502 1736 2253 2604 3004 3472 4506 5208 5257 6008 6841 9012 10416 10514 12016 13682 15771 18024 20523 21028 23281 27364 31542 36048 41046 42056 46562 47887 54728 63084 69843 82092 84112 93124 95774 109456 126168 139686 143661 162967 164184 186248 191548 212071 252336 279372 287322 325934 328368 372496 383096 424142 488901 558744 574644 636213 651868 766192 848284 977802 1117488 1149288 1272426 1303736 1484497 1696568 1955604 2298576 2544852 2607472 2968994 3393136 3911208 4453491 5089704 5137591 5937988 7822416 8906982 10179408 10275182 11875976 15412773 17813964 20550364 23751952 30825546 35627928 35963137 41100728 61651092 71255856 71926274 82201456 107889411 123302184 143852548 159265321 215778822 246604368 287705096 318530642 431557644 477795963 575410192 637061284 863115288 955591926 1114857247 1274122568 1726230576 1911183852 2229714494 2548245136 3344571741 3822367704 4459428988 6689143482 7644735408 8918857976 13378286964 17837715952 26756573928 53513147856