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10153140352 = 271929359401
BaseRepresentation
bin10010111010010110…
…01010000010000000
3222012120220222012021
421131023022002000
5131243200442402
64355253011224
7506414161165
oct113513120200
928176828167
1010153140352
114340201693
121b74323b14
13c5a648874
146c462806c
153e655cd37
hex25d2ca080

10153140352 has 128 divisors (see below), whose sum is σ = 22142160000. Its totient is φ = 4619059200.

The previous prime is 10153140341. The next prime is 10153140377. The reversal of 10153140352 is 25304135101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 25319352 + ... + 25319752.

It is an arithmetic number, because the mean of its divisors is an integer number (172985625).

Almost surely, 210153140352 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 10153140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11071080000).

10153140352 is an abundant number, since it is smaller than the sum of its proper divisors (11989019648).

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

10153140352 is a wasteful number, since it uses less digits than its factorization.

10153140352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 10153140352 its reverse (25304135101), we get a palindrome (35457275453).

The spelling of 10153140352 in words is "ten billion, one hundred fifty-three million, one hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 304 359 401 464 551 608 718 802 928 1102 1216 1436 1604 1856 2204 2432 2872 3208 3712 4408 5744 6416 6821 7619 8816 10411 11488 11629 12832 13642 15238 17632 20822 22976 23258 25664 27284 30476 35264 41644 45952 46516 51328 54568 60952 70528 83288 93032 109136 121904 143959 166576 186064 197809 218272 220951 243808 287918 333152 372128 395618 436544 441902 487616 575836 666304 744256 791236 873088 883804 975232 1151672 1332608 1488512 1582472 1767608 2303344 2735221 3164944 3535216 4174811 4606688 5470442 6329888 7070432 8349622 9213376 10940884 12659776 14140864 16699244 18426752 21881768 25319552 28281728 33398488 43763536 66796976 79321409 87527072 133593952 158642818 175054144 267187904 317285636 350108288 534375808 634571272 1269142544 2538285088 5076570176 10153140352