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10015153152 = 210317191773
BaseRepresentation
bin10010101001111001…
…10001110000000000
3221211222021111100020
421110330301300000
5131002334400102
64333443253440
7503120253144
oct112474616000
927758244306
1010015153152
11427a324884
121b3607a280
13c37b94734
146b0189224
153d93a2bbc
hex254f31c00

10015153152 has 88 divisors (see below), whose sum is σ = 28264419216. Its totient is φ = 3141992448.

The previous prime is 10015153123. The next prime is 10015153153. The reversal of 10015153152 is 25135151001.

It is a super-3 number, since 3×100151531523 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10015153153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43663 + ... + 148110.

It is an arithmetic number, because the mean of its divisors is an integer number (321186582).

Almost surely, 210015153152 is an apocalyptic number.

10015153152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10015153152 is an abundant number, since it is smaller than the sum of its proper divisors (18249266064).

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

10015153152 is a wasteful number, since it uses less digits than its factorization.

10015153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191813 (or 191795 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 10015153152 in words is "ten billion, fifteen million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 6528 8704 13056 17408 26112 52224 191773 383546 575319 767092 1150638 1534184 2301276 3068368 3260141 4602552 6136736 6520282 9205104 9780423 12273472 13040564 18410208 19560846 24546944 26081128 36820416 39121692 49093888 52162256 73640832 78243384 98187776 104324512 147281664 156486768 196375552 208649024 294563328 312973536 417298048 589126656 625947072 834596096 1251894144 1669192192 2503788288 3338384384 5007576576 10015153152