Search a number
-
+
390892864384 = 2711618951137
BaseRepresentation
bin1011011000000110000…
…01111100001110000000
31101100221222212221112201
411230003001330032000
522401022033130014
6455323530402544
740145455345141
oct5540301741600
91340858787481
10390892864384
1114085a916640
1263911290454
132ab269196b9
1414cc285dac8
15a27c107e74
hex5b0307c380

390892864384 has 128 divisors (see below), whose sum is σ = 873171122400. Its totient is φ = 172798771200.

The previous prime is 390892864363. The next prime is 390892864391. The reversal of 390892864384 is 483468298093.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

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, 7618464 + ... + 7669600.

Almost surely, 2390892864384 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 390892864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436585561200).

390892864384 is an abundant number, since it is smaller than the sum of its proper divisors (482278258016).

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

390892864384 is a wasteful number, since it uses less digits than its factorization.

390892864384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51312 (or 51300 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 64.

The spelling of 390892864384 in words is "three hundred ninety billion, eight hundred ninety-two million, eight hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 89 122 128 176 178 244 352 356 488 671 704 712 976 979 1342 1408 1424 1952 1958 2684 2848 3904 3916 5368 5429 5696 7808 7832 10736 10858 11392 15664 21472 21716 31328 42944 43432 51137 59719 62656 85888 86864 102274 119438 125312 173728 204548 238876 347456 409096 477752 562507 694912 818192 955504 1125014 1636384 1911008 2250028 3119357 3272768 3822016 4500056 4551193 6238714 6545536 7644032 9000112 9102386 12477428 18000224 18204772 24954856 34312927 36000448 36409544 49909712 50063123 68625854 72000896 72819088 99819424 100126246 137251708 145638176 199638848 200252492 274503416 277622773 291276352 399277696 400504984 549006832 555245546 582552704 801009968 1098013664 1110491092 1602019936 2196027328 2220982184 3053850503 3204039872 4392054656 4441964368 6107701006 6408079744 8883928736 12215402012 17767857472 24430804024 35535714944 48861608048 97723216096 195446432192 390892864384