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10215005152 = 2511177124043
BaseRepresentation
bin10011000001101110…
…01001101111100000
3222100220100000202011
421200313021233200
5131410020131102
64405343002304
7511065053062
oct114067115740
928326300664
1010215005152
114372116620
121b90b99394
13c6a3c9561
146cc92d732
153ebbcd2d7
hex260dc9be0

10215005152 has 96 divisors (see below), whose sum is σ = 23557734144. Its totient is φ = 4308326400.

The previous prime is 10215005123. The next prime is 10215005167. The reversal of 10215005152 is 25150051201.

It is a happy number.

It is a super-4 number, since 4×102150051524 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 412843 + ... + 436885.

It is an arithmetic number, because the mean of its divisors is an integer number (245393064).

Almost surely, 210215005152 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 10215005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11778867072).

10215005152 is an abundant number, since it is smaller than the sum of its proper divisors (13342728992).

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

10215005152 is a wasteful number, since it uses less digits than its factorization.

10215005152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24152 (or 24144 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

Adding to 10215005152 its reverse (25150051201), we get a palindrome (35365056353).

The spelling of 10215005152 in words is "ten billion, two hundred fifteen million, five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 71 88 136 142 176 187 272 284 352 374 544 568 748 781 1136 1207 1496 1562 2272 2414 2992 3124 4828 5984 6248 9656 12496 13277 19312 24043 24992 26554 38624 48086 53108 96172 106216 192344 212432 264473 384688 408731 424864 528946 769376 817462 1057892 1634924 1707053 2115784 3269848 3414106 4231568 4496041 6539696 6828212 8463136 8992082 13079392 13656424 17984164 18777583 27312848 29019901 35968328 37555166 54625696 58039802 71936656 75110332 116079604 143873312 150220664 232159208 300441328 319218911 464318416 600882656 638437822 928636832 1276875644 2553751288 5107502576 10215005152