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10034770220928 = 273217948663341
BaseRepresentation
bin1001001000000110011011…
…1010100001011110000000
31022112022111101112111010200
42102001212322201132000
52303402202134032203
633201524303325200
72053662650344635
oct222014672413600
938468441474120
1010034770220928
1132197a42026a2
1211609802b0800
1357a37589964b
14269984d0418c
151260627359a3
hex92066ea1780

10034770220928 has 96 divisors (see below), whose sum is σ = 29037416171400. Its totient is φ = 3326236615680.

The previous prime is 10034770220899. The next prime is 10034770220929. The reversal of 10034770220928 is 82902207743001.

10034770220928 is a `hidden beast` number, since 10 + 0 + 347 + 70 + 2 + 209 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100347702209282 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034770220929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24125463 + ... + 24537878.

Almost surely, 210034770220928 is an apocalyptic number.

10034770220928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10034770220928 is an abundant number, since it is smaller than the sum of its proper divisors (19002645950472).

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

10034770220928 is a wasteful number, since it uses less digits than its factorization.

10034770220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48663540 (or 48663525 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

Adding to 10034770220928 its reverse (82902207743001), we get a palindrome (92936977963929).

The spelling of 10034770220928 in words is "ten trillion, thirty-four billion, seven hundred seventy million, two hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 288 358 384 537 576 716 1074 1152 1432 1611 2148 2864 3222 4296 5728 6444 8592 11456 12888 17184 22912 25776 34368 51552 68736 103104 206208 48663341 97326682 145990023 194653364 291980046 389306728 437970069 583960092 778613456 875940138 1167920184 1557226912 1751880276 2335840368 3114453824 3503760552 4671680736 6228907648 7007521104 8710738039 9343361472 14015042208 17421476078 18686722944 26132214117 28030084416 34842952156 52264428234 56060168832 69685904312 78396642351 104528856468 139371808624 156793284702 209057712936 278743617248 313586569404 418115425872 557487234496 627173138808 836230851744 1114974468992 1254346277616 1672461703488 2508692555232 3344923406976 5017385110464 10034770220928