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151313115552 = 25343137267557
BaseRepresentation
bin1000110011101011110…
…1101110100110100000
3112110120021022200202220
42030322331232212200
54434342124144202
6153302353111040
713634452155324
oct2147275564640
9473507280686
10151313115552
1159198344315
12253aa558480
131136562a101
147475d27984
153e09010abc
hex233af6e9a0

151313115552 has 96 divisors (see below), whose sum is σ = 409402268352. Its totient is φ = 48904955904.

The previous prime is 151313115523. The next prime is 151313115593. The reversal of 151313115552 is 255511313151.

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

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, 431758 + ... + 699314.

It is an arithmetic number, because the mean of its divisors is an integer number (4264606962).

Almost surely, 2151313115552 is an apocalyptic number.

151313115552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151313115552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204701134176).

151313115552 is an abundant number, since it is smaller than the sum of its proper divisors (258089152800).

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

151313115552 is a wasteful number, since it uses less digits than its factorization.

151313115552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267750 (or 267742 counting only the distinct ones).

The product of its digits is 11250, while the sum is 33.

The spelling of 151313115552 in words is "one hundred fifty-one billion, three hundred thirteen million, one hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 137 172 258 274 344 411 516 548 688 822 1032 1096 1376 1644 2064 2192 3288 4128 4384 5891 6576 11782 13152 17673 23564 35346 47128 70692 94256 141384 188512 267557 282768 535114 565536 802671 1070228 1605342 2140456 3210684 4280912 6421368 8561824 11504951 12842736 23009902 25685472 34514853 36655309 46019804 69029706 73310618 92039608 109965927 138059412 146621236 184079216 219931854 276118824 293242472 368158432 439863708 552237648 586484944 879727416 1104475296 1172969888 1576178287 1759454832 3152356574 3518909664 4728534861 6304713148 9457069722 12609426296 18914139444 25218852592 37828278888 50437705184 75656557776 151313115552