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41723145552 = 24311199479829
BaseRepresentation
bin100110110110111001…
…001010110101010000
310222200202110101211010
4212312321022311100
51140422111124202
631100051450520
73004636612524
oct466671126520
9128622411733
1041723145552
111677069a880
128104bb6a40
133c1c073c0a
14203b399d84
151142e0d76c
hex9b6e4ad50

41723145552 has 160 divisors (see below), whose sum is σ = 118563840000. Its totient is φ = 12538437120.

The previous prime is 41723145523. The next prime is 41723145593. The reversal of 41723145552 is 25554132714.

41723145552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41723145552.

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, 50329074 + ... + 50329902.

It is an arithmetic number, because the mean of its divisors is an integer number (741024000).

Almost surely, 241723145552 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 41723145552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59281920000).

41723145552 is an abundant number, since it is smaller than the sum of its proper divisors (76840694448).

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

41723145552 is a wasteful number, since it uses less digits than its factorization.

41723145552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1523 counting only the distinct ones).

The product of its digits is 168000, while the sum is 39.

The spelling of 41723145552 in words is "forty-one billion, seven hundred twenty-three million, one hundred forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 199 264 398 479 528 597 796 829 958 1194 1437 1592 1658 1916 2189 2388 2487 2874 3184 3316 3832 4378 4776 4974 5269 5748 6567 6632 7664 8756 9119 9552 9948 10538 11496 13134 13264 15807 17512 18238 19896 21076 22992 26268 27357 31614 35024 36476 39792 42152 52536 54714 63228 72952 84304 95321 105072 109428 126456 145904 164971 190642 218856 252912 285963 329942 381284 397091 437712 494913 571926 659884 762568 794182 989826 1048531 1143852 1191273 1319768 1525136 1588364 1814681 1979652 2097062 2287704 2382546 2639536 3145593 3176728 3629362 3959304 4194124 4368001 4575408 4765092 5444043 6291186 6353456 7258724 7918608 8388248 8736002 9530184 10888086 12582372 13104003 14517448 16776496 17472004 19060368 21776172 25164744 26208006 29034896 34944008 43552344 50329488 52416012 69888016 79021109 87104688 104832024 158042218 209664048 237063327 316084436 474126654 632168872 869232199 948253308 1264337744 1738464398 1896506616 2607696597 3476928796 3793013232 5215393194 6953857592 10430786388 13907715184 20861572776 41723145552