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1957136454 = 2327133138543
BaseRepresentation
bin111010010100111…
…1000100001000110
312001101200211111100
41310221320201012
513002011331304
6522112120530
766333246120
oct16451704106
95041624440
101957136454
11914830649
12467536146
1325261a310
14147cdc210
15b6c47439
hex74a78846

1957136454 has 96 divisors (see below), whose sum is σ = 5387526144. Its totient is φ = 499504320.

The previous prime is 1957136437. The next prime is 1957136471. The reversal of 1957136454 is 4546317591.

1957136454 is a `hidden beast` number, since 1 + 9 + 571 + 36 + 45 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1957136437) and next prime (1957136471).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31507 + ... + 70049.

It is an arithmetic number, because the mean of its divisors is an integer number (56120064).

Almost surely, 21957136454 is an apocalyptic number.

1957136454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1957136454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693763072).

1957136454 is an abundant number, since it is smaller than the sum of its proper divisors (3430389690).

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

1957136454 is a wasteful number, since it uses less digits than its factorization.

1957136454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38602 (or 38599 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1957136454 is about 44239.5349659103. The cubic root of 1957136454 is about 1250.8551916377.

The spelling of 1957136454 in words is "one billion, nine hundred fifty-seven million, one hundred thirty-six thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 806 819 1209 1302 1638 1953 2418 2821 3627 3906 5642 7254 8463 16926 25389 38543 50778 77086 115629 231258 269801 346887 501059 539602 693774 809403 1002118 1194833 1503177 1618806 2389666 2428209 3006354 3507413 3584499 4509531 4856418 7014826 7168998 8363831 9019062 10522239 10753497 15532829 16727662 21044478 21506994 25091493 31065658 31566717 46598487 50182986 63133434 75274479 93196974 108729803 139795461 150548958 217459606 279590922 326189409 652378818 978568227 1957136454