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380906193408 = 2931337515563
BaseRepresentation
bin1011000101011111100…
…01110100001000000000
31100102012000012111101220
411202233301310020000
522220043441142113
6450552541355040
736343132136256
oct5425761641000
91312160174356
10380906193408
111375a5685954
12619a4868a80
1329bc4918130
14146163aa5d6
159d954ce523
hex58afc74200

380906193408 has 160 divisors (see below), whose sum is σ = 1122353956416. Its totient is φ = 114034065408.

The previous prime is 380906193383. The next prime is 380906193433. The reversal of 380906193408 is 804391609083.

It is an interprime number because it is at equal distance from previous prime (380906193383) and next prime (380906193433).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481035 + ... + 996597.

Almost surely, 2380906193408 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 380906193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561176978208).

380906193408 is an abundant number, since it is smaller than the sum of its proper divisors (741447763008).

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

380906193408 is a wasteful number, since it uses less digits than its factorization.

380906193408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515634 (or 515618 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 380906193408 in words is "three hundred eighty billion, nine hundred six million, one hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 512 592 624 768 832 888 962 1184 1248 1443 1536 1664 1776 1924 2368 2496 2886 3328 3552 3848 4736 4992 5772 6656 7104 7696 9472 9984 11544 14208 15392 18944 19968 23088 28416 30784 46176 56832 61568 92352 123136 184704 246272 369408 515563 738816 1031126 1546689 2062252 3093378 4124504 6186756 6702319 8249008 12373512 13404638 16498016 19075831 20106957 24747024 26809276 32996032 38151662 40213914 49494048 53618552 57227493 65992064 76303324 80427828 98988096 107237104 114454986 131984128 152606648 160855656 197976192 214474208 228909972 247985803 263968256 305213296 321711312 395952384 428948416 457819944 495971606 610426592 643422624 743957409 791904768 857896832 915639888 991943212 1220853184 1286845248 1487914818 1715793664 1831279776 1983886424 2441706368 2573690496 2975829636 3431587328 3662559552 3967772848 4883412736 5147380992 5951659272 7325119104 7935545696 9766825472 10294761984 11903318544 14650238208 15871091392 23806637088 29300476416 31742182784 47613274176 63484365568 95226548352 126968731136 190453096704 380906193408