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20141777432 = 2374779157617
BaseRepresentation
bin10010110000100010…
…110010001000011000
31220222201022022022202
4102300202302020120
5312222243334212
613130352105332
71312063166120
oct226042621030
956881268282
1020141777432
1185a6565557
123aa1535248
131b8cb87cca
14d9106dc80
157cd4240c2
hex4b08b2218

20141777432 has 128 divisors (see below), whose sum is σ = 44994355200. Its totient is φ = 8275018752.

The previous prime is 20141777423. The next prime is 20141777449. The reversal of 20141777432 is 23477714102.

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, 32644388 + ... + 32645004.

It is an arithmetic number, because the mean of its divisors is an integer number (351518400).

Almost surely, 220141777432 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 20141777432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22497177600).

20141777432 is an abundant number, since it is smaller than the sum of its proper divisors (24852577768).

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

20141777432 is a wasteful number, since it uses less digits than its factorization.

20141777432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 38.

The spelling of 20141777432 in words is "twenty billion, one hundred forty-one million, seven hundred seventy-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 47 56 79 94 157 158 188 314 316 329 376 553 617 628 632 658 1099 1106 1234 1256 1316 2198 2212 2468 2632 3713 4319 4396 4424 4936 7379 7426 8638 8792 12403 14758 14852 17276 24806 25991 28999 29516 29704 34552 48743 49612 51653 51982 57998 59032 86821 96869 97486 99224 103306 103964 115996 173642 193738 194972 202993 206612 207928 231992 341201 347284 387476 389944 405986 413224 582941 678083 682402 694568 774952 811972 1165882 1356166 1364804 1623944 2290921 2331764 2712332 2729608 4080587 4552843 4581842 4663528 5424664 7652651 8161174 9105686 9163684 15305302 16036447 16322348 18211372 18327368 30610604 31869901 32072894 32644696 36422744 53568557 61221208 63739802 64145788 107137114 127479604 128291576 214274228 254959208 359674597 428548456 719349194 1438698388 2517722179 2877396776 5035444358 10070888716 20141777432