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145866404992 = 2772112114251
BaseRepresentation
bin1000011111011001010…
…0001011010010000000
3111221111200101010112011
42013312110023102000
54342213244424432
6151002103142304
713352463661600
oct2076624132200
9457450333464
10145866404992
1156952868030
122432a444994
13109a8083b59
1470ba7c2c00
153bdac6a847
hex21f650b480

145866404992 has 96 divisors (see below), whose sum is σ = 368767833840. Its totient is φ = 56831040000.

The previous prime is 145866404977. The next prime is 145866405067. The reversal of 145866404992 is 299404668541.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988134 + ... + 1126117.

Almost surely, 2145866404992 is an apocalyptic number.

It is an amenable number.

145866404992 is an abundant number, since it is smaller than the sum of its proper divisors (222901428848).

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

145866404992 is a wasteful number, since it uses less digits than its factorization.

145866404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114290 (or 2114271 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 145866404992 in words is "one hundred forty-five billion, eight hundred sixty-six million, four hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 352 392 448 539 616 704 784 896 1078 1232 1408 1568 2156 2464 3136 4312 4928 6272 8624 9856 17248 34496 68992 2114251 4228502 8457004 14799757 16914008 23256761 29599514 33828016 46513522 59199028 67656032 93027044 103598299 118398056 135312064 162797327 186054088 207196598 236796112 270624128 325594654 372108176 414393196 473592224 651189308 744216352 828786392 947184448 1139581289 1302378616 1488432704 1657572784 1894368896 2279162578 2604757232 2976865408 3315145568 4558325156 5209514464 6630291136 9116650312 10419028928 13260582272 18233300624 20838057856 36466601248 72933202496 145866404992