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406199515872 = 253191931153871
BaseRepresentation
bin1011110100100110110…
…00001011101011100000
31102211110202001101222210
411322103120023223200
523123344034001442
6510334441202120
741230000626213
oct5722330135340
91384422041883
10406199515872
111472a5045437
1266883490340
132c3c5b51c27
14159356a977a
15a875ce219c
hex5e9360bae0

406199515872 has 96 divisors (see below), whose sum is σ = 1128209886720. Its totient is φ = 127608791040.

The previous prime is 406199515861. The next prime is 406199515903. The reversal of 406199515872 is 278515991604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224904 + ... + 928967.

It is an arithmetic number, because the mean of its divisors is an integer number (11752186320).

Almost surely, 2406199515872 is an apocalyptic number.

It is an amenable number.

406199515872 is an abundant number, since it is smaller than the sum of its proper divisors (722010370848).

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

406199515872 is a wasteful number, since it uses less digits than its factorization.

406199515872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154096 (or 1154088 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 406199515872 in words is "four hundred six billion, one hundred ninety-nine million, five hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 193 228 304 386 456 579 608 772 912 1158 1544 1824 2316 3088 3667 4632 6176 7334 9264 11001 14668 18528 22002 29336 44004 58672 88008 117344 176016 352032 1153871 2307742 3461613 4615484 6923226 9230968 13846452 18461936 21923549 27692904 36923872 43847098 55385808 65770647 87694196 110771616 131541294 175388392 222697103 263082588 350776784 445394206 526165176 668091309 701553568 890788412 1052330352 1336182618 1781576824 2104660704 2672365236 3563153648 4231244957 5344730472 7126307296 8462489914 10689460944 12693734871 16924979828 21378921888 25387469742 33849959656 50774939484 67699919312 101549878968 135399838624 203099757936 406199515872