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154914396928 = 28171915711933
BaseRepresentation
bin1001000001000110011…
…1100001101100000000
3112210212020202202002121
42100101213201230000
510014231041200203
6155100001054024
714122631435044
oct2202147415400
9483766682077
10154914396928
115a776158315
1226034627314
13117ba768535
1476d832c024
15406a2770bd
hex24119e1b00

154914396928 has 144 divisors (see below), whose sum is σ = 346869825120. Its totient is φ = 68618354688.

The previous prime is 154914396919. The next prime is 154914396937. The reversal of 154914396928 is 829693419451.

It is an interprime number because it is at equal distance from previous prime (154914396919) and next prime (154914396937).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12976050 + ... + 12987982.

It is an arithmetic number, because the mean of its divisors is an integer number (2408818230).

Almost surely, 2154914396928 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 154914396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173434912560).

154914396928 is an abundant number, since it is smaller than the sum of its proper divisors (191955428192).

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

154914396928 is a wasteful number, since it uses less digits than its factorization.

154914396928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12142 (or 12128 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 61.

The spelling of 154914396928 in words is "one hundred fifty-four billion, nine hundred fourteen million, three hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 157 256 272 304 314 323 544 608 628 646 1088 1216 1256 1292 2176 2432 2512 2584 2669 2983 4352 4864 5024 5168 5338 5966 10048 10336 10676 11932 11933 20096 20672 21352 23864 23866 40192 41344 42704 47728 47732 50711 82688 85408 95456 95464 101422 170816 190912 190928 202844 202861 226727 341632 381824 381856 405688 405722 453454 683264 763648 763712 811376 811444 906908 1527424 1622752 1622888 1813816 1873481 3054848 3245504 3245776 3627632 3746962 3854359 6491008 6491552 7255264 7493924 7708718 12982016 12983104 14510528 14987848 15417436 25966208 29021056 29975696 30834872 31849177 35596139 51932416 58042112 59951392 61669744 63698354 71192278 119902784 123339488 127396708 142384556 239805568 246678976 254793416 284769112 479611136 493357952 509586832 569538224 605134363 986715904 1019173664 1139076448 1210268726 2038347328 2278152896 2420537452 4076694656 4556305792 4841074904 8153389312 9112611584 9682149808 19364299616 38728599232 77457198464 154914396928