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53434921968 = 24331723773061
BaseRepresentation
bin110001110000111110…
…000011001111110000
312002220222020021202000
4301300332003033300
51333413320000333
640314143454000
73601111225341
oct616076031760
9162828207660
1053434921968
112073069083a
12a4332b7300
1350675a1c2c
14282c9cc0c8
1515cb1e9713
hexc70f833f0

53434921968 has 160 divisors (see below), whose sum is σ = 162521651520. Its totient is φ = 16751370240.

The previous prime is 53434921963. The next prime is 53434921987. The reversal of 53434921968 is 86912943435.

53434921968 is a `hidden beast` number, since 53 + 43 + 492 + 1 + 9 + 68 = 666.

53434921968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53434921963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17455158 + ... + 17458218.

It is an arithmetic number, because the mean of its divisors is an integer number (1015760322).

Almost surely, 253434921968 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 53434921968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81260825760).

53434921968 is an abundant number, since it is smaller than the sum of its proper divisors (109086729552).

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

53434921968 is a wasteful number, since it uses less digits than its factorization.

53434921968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5460 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 53434921968 in words is "fifty-three billion, four hundred thirty-four million, nine hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2377 2448 3061 3672 4754 6122 7131 7344 9183 9508 12244 14262 18366 19016 21393 24488 27549 28524 36732 38032 40409 42786 48976 52037 55098 57048 64179 73464 80818 82647 85572 104074 110196 114096 121227 128358 146928 156111 161636 165294 171144 208148 220392 242454 256716 312222 323272 330588 342288 363681 416296 440784 468333 484908 513432 624444 646544 661176 727362 832592 936666 969816 1026864 1091043 1248888 1322352 1404999 1454724 1873332 1939632 2182086 2497776 2809998 2909448 3746664 4364172 5619996 5818896 7275997 7493328 8728344 11239992 14551994 17456688 21827991 22479984 29103988 43655982 58207976 65483973 87311964 116415952 123691949 130967946 174623928 196451919 247383898 261935892 349247856 371075847 392903838 494767796 523871784 742151694 785807676 989535592 1047743568 1113227541 1484303388 1571615352 1979071184 2226455082 2968606776 3143230704 3339682623 4452910164 5937213552 6679365246 8905820328 13358730492 17811640656 26717460984 53434921968