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60023638272 = 2831313145893
BaseRepresentation
bin110111111001101100…
…000000100100000000
312201221011001202100210
4313321230000210000
51440412022411042
643324030514120
74223304335643
oct677154004400
9181834052323
1060023638272
1123501862924
12b771965940
135877615630
142c95a87a5a
151864871a9c
hexdf9b00900

60023638272 has 144 divisors (see below), whose sum is σ = 173355956928. Its totient is φ = 18327429120.

The previous prime is 60023638261. The next prime is 60023638303. The reversal of 60023638272 is 27283632006.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 60023638272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284958 + ... + 1330850.

It is an arithmetic number, because the mean of its divisors is an integer number (1203860812).

Almost surely, 260023638272 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 60023638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86677978464).

60023638272 is an abundant number, since it is smaller than the sum of its proper divisors (113332318656).

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

60023638272 is a wasteful number, since it uses less digits than its factorization.

60023638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46056 (or 46042 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 60023638272 in words is "sixty billion, twenty-three million, six hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 131 156 192 208 256 262 312 384 393 416 524 624 768 786 832 1048 1248 1572 1664 1703 2096 2496 3144 3328 3406 4192 4992 5109 6288 6812 8384 9984 10218 12576 13624 16768 20436 25152 27248 33536 40872 45893 50304 54496 81744 91786 100608 108992 137679 163488 183572 217984 275358 326976 367144 435968 550716 596609 653952 734288 1101432 1193218 1307904 1468576 1789827 2202864 2386436 2937152 3579654 4405728 4772872 5874304 6011983 7159308 8811456 9545744 11748608 12023966 14318616 17622912 18035949 19091488 24047932 28637232 35245824 36071898 38182976 48095864 57274464 72143796 76365952 78155779 96191728 114548928 144287592 152731904 156311558 192383456 229097856 234467337 288575184 312623116 384766912 458195712 468934674 577150368 625246232 769533824 937869348 1154300736 1250492464 1539067648 1875738696 2308601472 2500984928 3751477392 4617202944 5001969856 7502954784 10003939712 15005909568 20007879424 30011819136 60023638272