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99377664 = 293232997
BaseRepresentation
bin1011110110001…
…10001000000000
320220222220112020
411323012020000
5200420041124
613510001440
72314460541
oct573061000
9226886466
1099377664
1151106a01
1229346280
1317786469
14d2ac4c8
158ad0379
hex5ec6200

99377664 has 160 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 30277632.

The previous prime is 99377659. The next prime is 99377701. The reversal of 99377664 is 46677399.

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, 1024464 + ... + 1024560.

It is an arithmetic number, because the mean of its divisors is an integer number (1804572).

Almost surely, 299377664 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 99377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

99377664 is an abundant number, since it is smaller than the sum of its proper divisors (189353856).

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

99377664 is a wasteful number, since it uses less digits than its factorization.

99377664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 51.

The square root of 99377664 is about 9968.8346360044. The cubic root of 99377664 is about 463.1940030425.

The spelling of 99377664 in words is "ninety-nine million, three hundred seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 97 116 128 138 174 184 192 194 232 256 276 291 348 368 384 388 464 512 552 582 667 696 736 768 776 928 1104 1164 1334 1392 1472 1536 1552 1856 2001 2208 2231 2328 2668 2784 2813 2944 3104 3712 4002 4416 4462 4656 5336 5568 5626 5888 6208 6693 7424 8004 8439 8832 8924 9312 10672 11136 11252 11776 12416 13386 14848 16008 16878 17664 17848 18624 21344 22272 22504 24832 26772 32016 33756 35328 35696 37248 42688 44544 45008 49664 53544 64032 64699 67512 71392 74496 85376 90016 107088 128064 129398 135024 142784 148992 170752 180032 194097 214176 256128 258796 270048 285568 341504 360064 388194 428352 512256 517592 540096 571136 720128 776388 856704 1024512 1035184 1080192 1142272 1440256 1552776 1713408 2070368 2160384 3105552 3426816 4140736 4320768 6211104 8281472 12422208 16562944 24844416 33125888 49688832 99377664