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23349656020432 = 24737127229193741
BaseRepresentation
bin1010100111100100000111…
…11100111110010111010000
310001200012112200020000012211
411103302003330332113100
511030030043420123212
6121354403415401504
74626646146303250
oct523620374762720
9101605480200184
1023349656020432
117492596110125
1227513a0683294
131004b2b356441
145aa1b5045960
152a75a13339a7
hex153c83f3e5d0

23349656020432 has 160 divisors (see below), whose sum is σ = 53752276459520. Its totient is φ = 9617637980160.

The previous prime is 23349656020357. The next prime is 23349656020463. The reversal of 23349656020432 is 23402065694332.

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, 120423082 + ... + 120616822.

It is an arithmetic number, because the mean of its divisors is an integer number (335951727872).

Almost surely, 223349656020432 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 23349656020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26876138229760).

23349656020432 is an abundant number, since it is smaller than the sum of its proper divisors (30402620439088).

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

23349656020432 is a wasteful number, since it uses less digits than its factorization.

23349656020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194149 (or 194143 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 49.

The spelling of 23349656020432 in words is "twenty-three trillion, three hundred forty-nine billion, six hundred fifty-six million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 127 148 229 254 259 296 458 508 518 592 889 916 1016 1036 1603 1778 1832 2032 2072 3206 3556 3664 4144 4699 6412 7112 8473 9398 12824 14224 16946 18796 25648 29083 32893 33892 37592 58166 59311 65786 67784 75184 116332 118622 131572 135568 193741 203581 232664 237244 263144 387482 407162 465328 474488 526288 774964 814324 948976 1076071 1356187 1549928 1628648 2152142 2712374 3099856 3257296 4304284 5424748 7168417 7532497 8608568 10849496 14336834 15064994 17217136 21698992 24605107 28673668 30129988 44366689 49210214 50178919 57347336 60259976 88733378 98420428 100357838 114694672 120519952 172235749 177466756 196840856 200715676 310566823 344471498 354933512 393681712 401431352 621133646 688942996 709867024 802862704 910388959 1242267292 1377885992 1641567493 1820777918 2484534584 2755771984 3283134986 3641555836 4969069168 5634569503 6372722713 6566269972 7283111672 11269139006 11490972451 12745445426 13132539944 14566223344 22538278012 22981944902 25490890852 26265079888 39441986521 45076556024 45963889804 50981781704 78883973042 90153112048 91927779608 101963563408 157767946084 183855559216 208479071611 315535892168 416958143222 631071784336 833916286444 1459353501277 1667832572888 2918707002554 3335665145776 5837414005108 11674828010216 23349656020432