Search a number
-
+
74292623410872 = 23379113661524599
BaseRepresentation
bin10000111001000110011001…
…011011011000011010111000
3100202001022020122212221112010
4100321012121123120122320
534214202243043121442
6422001320544445520
721435315315423666
oct2071063133303270
9322038218787463
1074292623410872
1121743363124439
1283ba4a93198a0
13325b9c22c25a9
14144bad435bc36
1588c7c5758b9c
hex4391996d86b8

74292623410872 has 128 divisors (see below), whose sum is σ = 190034461440000. Its totient is φ = 24197649315840.

The previous prime is 74292623410871. The next prime is 74292623410927. The reversal of 74292623410872 is 27801432629247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74292623410871) 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, 141355629 + ... + 141880227.

It is an arithmetic number, because the mean of its divisors is an integer number (1484644230000).

Almost surely, 274292623410872 is an apocalyptic number.

It is an amenable number.

74292623410872 is an abundant number, since it is smaller than the sum of its proper divisors (115741838029128).

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

74292623410872 is a wasteful number, since it uses less digits than its factorization.

74292623410872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525461 (or 525457 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 74292623410872 in words is "seventy-four trillion, two hundred ninety-two billion, six hundred twenty-three million, four hundred ten thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 79 113 158 226 237 316 339 452 474 632 661 678 904 948 1322 1356 1896 1983 2644 2712 3966 5288 7932 8927 15864 17854 26781 35708 52219 53562 71416 74693 104438 107124 149386 156657 208876 214248 224079 298772 313314 417752 448158 524599 597544 626628 896316 1049198 1253256 1573797 1792632 2098396 3147594 4196792 5900747 6295188 11801494 12590376 17702241 23602988 35404482 41443321 47205976 59279687 70808964 82886642 118559374 124329963 141617928 165773284 177839061 237118748 248659926 331546568 346759939 355678122 474237496 497319852 693519878 711356244 994639704 1040279817 1387039756 1422712488 2080559634 2774079512 4161119268 4683095273 8322238536 9366190546 14049285819 18732381092 27394035181 28098571638 37464762184 39183873107 54788070362 56197143276 78367746214 82182105543 109576140724 112394286552 117551619321 156735492428 164364211086 219152281448 235103238642 313470984856 328728422172 470206477284 657456844344 940412954568 3095525975453 6191051950906 9286577926359 12382103901812 18573155852718 24764207803624 37146311705436 74292623410872