Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
97944991222456 = 237198631021104473
BaseRepresentation
bin10110010001010010011000…
…011010001100101010111000
3110211210110010211202020121101
4112101102120122030222320
5100314212320223104311
6544151150252421144
726426202121555360
oct2621223032145270
9424713124666541
1097944991222456
1129232268140674
12ab9a48b4777b4
13428623322bc81
141a287c47279a0
15b4cb9235eec1
hex59149868cab8

97944991222456 has 128 divisors (see below), whose sum is σ = 221403306700800. Its totient is φ = 39681775272960.

The previous prime is 97944991222439. The next prime is 97944991222457. The reversal of 97944991222456 is 65422219944979.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97944991222457) 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, 937462636 + ... + 937567108.

It is an arithmetic number, because the mean of its divisors is an integer number (1729713333600).

Almost surely, 297944991222456 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 97944991222456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110701653350400).

97944991222456 is an abundant number, since it is smaller than the sum of its proper divisors (123458315478344).

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

97944991222456 is a wasteful number, since it uses less digits than its factorization.

97944991222456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106389 (or 106385 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 73.

The spelling of 97944991222456 in words is "ninety-seven trillion, nine hundred forty-four billion, nine hundred ninety-one million, two hundred twenty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 863 1021 1064 1726 2042 3452 4084 6041 6904 7147 8168 12082 14294 16397 19399 24164 28588 32794 38798 48328 57176 65588 77596 104473 114779 131176 135793 155192 208946 229558 271586 417892 459116 543172 731311 835784 881123 918232 1086344 1462622 1762246 1984987 2925244 3524492 3969974 5850488 6167861 7048984 7939948 12335722 13894909 15879896 16741337 24671444 27789818 33482674 49342888 55579636 66965348 90160199 106666933 111159272 117189359 133930696 180320398 213333866 234378718 360640796 426667732 468757436 631121393 721281592 746668531 853335464 937514872 1262242786 1493337062 1713043781 2026671727 2524485572 2986674124 3426087562 4053343454 5048971144 5973348248 6852175124 8106686908 11991306467 13704350248 14186702089 16213373816 23982612934 28373404178 47965225868 56746808356 92053563179 95930451736 113493616712 184107126358 368214252716 644374942253 736428505432 1288749884506 1749017700401 2577499769012 3498035400802 5154999538024 6996070801604 12243123902807 13992141603208 24486247805614 48972495611228 97944991222456