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53164463664 = 24313175394561
BaseRepresentation
bin110001100000110110…
…010101011000110000
312002020010022120200210
4301200312111120300
51332340100314124
640231242544120
73561315325224
oct614066253060
9162203276623
1053164463664
1120601a54484
12a378808040
135023548630
142804b08784
1515b25c3a29
hexc60d95630

53164463664 has 160 divisors (see below), whose sum is σ = 159563162304. Its totient is φ = 15105392640.

The previous prime is 53164463663. The next prime is 53164463707. The reversal of 53164463664 is 46636446135.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (53164463663) 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, 514944 + ... + 609504.

Almost surely, 253164463664 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 53164463664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79781581152).

53164463664 is an abundant number, since it is smaller than the sum of its proper divisors (106398698640).

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

53164463664 is a wasteful number, since it uses less digits than its factorization.

53164463664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94655 (or 94649 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 48.

The spelling of 53164463664 in words is "fifty-three billion, one hundred sixty-four million, four hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 53 68 78 102 104 106 136 156 159 204 208 212 221 272 312 318 408 424 442 624 636 663 689 816 848 884 901 1272 1326 1378 1768 1802 2067 2544 2652 2703 2756 3536 3604 4134 5304 5406 5512 7208 8268 10608 10812 11024 11713 14416 16536 21624 23426 33072 35139 43248 46852 70278 93704 94561 140556 187408 189122 281112 283683 378244 562224 567366 756488 1134732 1229293 1512976 1607537 2269464 2458586 3215074 3687879 4538928 4822611 4917172 5011733 6430148 7375758 9645222 9834344 10023466 12860296 14751516 15035199 19290444 19668688 20046932 20897981 25720592 29503032 30070398 38580888 40093864 41795962 59006064 60140796 62693943 65152529 77161776 80187728 83591924 85199461 120281592 125387886 130305058 167183848 170398922 195457587 240563184 250775772 255598383 260610116 334367696 340797844 390915174 501551544 511196766 521220232 681595688 781830348 1003103088 1022393532 1042440464 1107592993 1363191376 1563660696 2044787064 2215185986 3127321392 3322778979 4089574128 4430371972 6645557958 8860743944 13291115916 17721487888 26582231832 53164463664