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13051803601984 = 2672645132
BaseRepresentation
bin1011110111101101110000…
…0111100000110001000000
31201012201222122010011200211
42331323130013200301000
53202320043210230414
643431525451323504
72514650601063100
oct275733407406100
951181878104624
1013051803601984
1141822699676a4
12156963a750594
13738a1a2a9844
143319d40c9200
151797925473c4
hexbdedc1e0c40

13051803601984 has 63 divisors (see below), whose sum is σ = 30128657793237. Its totient is φ = 5593543409664.

The previous prime is 13051803601943. The next prime is 13051803602023. The reversal of 13051803601984 is 48910630815031.

The square root of 13051803601984 is 3612728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2759718337600 + 10292085264384 = 1661240^2 + 3208128^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 202280512 + ... + 202345024.

Almost surely, 213051803601984 is an apocalyptic number.

13051803601984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13051803601984 is the 3612728-th square number.

It is an amenable number.

13051803601984 is an abundant number, since it is smaller than the sum of its proper divisors (17076854191253).

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

13051803601984 is an frugal number, since it uses more digits than its factorization.

13051803601984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129052 (or 64522 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 13051803601984 by its sum of digits (49), we get a square (639538376497216 = 252890962).

13051803601984 divided by its sum of digits (49) gives a square (266363338816 = 5161042).

The spelling of 13051803601984 in words is "thirteen trillion, fifty-one billion, eight hundred three million, six hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 64513 129026 258052 451591 516104 903182 1032208 1806364 2064416 3161137 3612728 4128832 6322274 7225456 12644548 14450912 25289096 28901824 50578192 101156384 202312768 4161927169 8323854338 16647708676 29133490183 33295417352 58266980366 66590834704 116533960732 133181669408 203934431281 233067921464 266363338816 407868862562 466135842928 815737725124 932271685856 1631475450248 1864543371712 3262950900496 6525901800992 13051803601984