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381564099696 = 243134125159419
BaseRepresentation
bin1011000110101101111…
…11100001110001110000
31100110212212011121011110
411203112333201301300
522222420402142241
6451142122513320
736365341222353
oct5432677416160
91313785147143
10381564099696
11137902a9465a
1261b49065840
1329c9b0099b0
141467990829a
159dd3139816
hex58d6fe1c70

381564099696 has 160 divisors (see below), whose sum is σ = 1091772622080. Its totient is φ = 114082560000.

The previous prime is 381564099689. The next prime is 381564099733. The reversal of 381564099696 is 696990465183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6391875 + ... + 6451293.

It is an arithmetic number, because the mean of its divisors is an integer number (6823578888).

Almost surely, 2381564099696 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 381564099696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545886311040).

381564099696 is an abundant number, since it is smaller than the sum of its proper divisors (710208522384).

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

381564099696 is a wasteful number, since it uses less digits than its factorization.

381564099696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59735 (or 59729 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 381564099696 in words is "three hundred eighty-one billion, five hundred sixty-four million, ninety-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 251 312 328 492 502 533 624 656 753 984 1004 1066 1506 1599 1968 2008 2132 3012 3198 3263 4016 4264 6024 6396 6526 8528 9789 10291 12048 12792 13052 19578 20582 25584 26104 30873 39156 41164 52208 59419 61746 78312 82328 118838 123492 133783 156624 164656 178257 237676 246984 267566 356514 401349 475352 493968 535132 713028 772447 802698 950704 1070264 1426056 1544894 1605396 2140528 2317341 2436179 2852112 3089788 3210792 4634682 4872358 6179576 6421584 7308537 9269364 9744716 12359152 14617074 14914169 18538728 19489432 29234148 29828338 31670327 37077456 38978864 44742507 58468296 59656676 63340654 89485014 95010981 116936592 119313352 126681308 178970028 190021962 193884197 238626704 253362616 357940056 380043924 387768394 506725232 581652591 611480929 715880112 760087848 775536788 1163305182 1222961858 1520175696 1551073576 1834442787 2326610364 2445923716 3102147152 3668885574 4653220728 4891847432 7337771148 7949252077 9306441456 9783694864 14675542296 15898504154 23847756231 29351084592 31797008308 47695512462 63594016616 95391024924 127188033232 190782049848 381564099696