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172152115120 = 2454746199317
BaseRepresentation
bin1010000001010100010…
…0001100111110110000
3121110100120120120001201
42200111010030332300
510310031420140440
6211030253140544
715303042556156
oct2402504147660
9543316516051
10172152115120
1167011421107
122944548a754
1313306a90c9b
14849180b3d6
15472875919a
hex281510cfb0

172152115120 has 80 divisors (see below), whose sum is σ = 409660530048. Its totient is φ = 67248849920.

The previous prime is 172152115039. The next prime is 172152115129. The reversal of 172152115120 is 21511251271.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1721521151202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172152115129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683702 + ... + 1783018.

Almost surely, 2172152115120 is an apocalyptic number.

172152115120 is a gapful number since it is divisible by the number (10) 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 172152115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204830265024).

172152115120 is an abundant number, since it is smaller than the sum of its proper divisors (237508414928).

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

172152115120 is a wasteful number, since it uses less digits than its factorization.

172152115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99838 (or 99832 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 28.

Adding to 172152115120 its reverse (21511251271), we get a palindrome (193663366391).

The spelling of 172152115120 in words is "one hundred seventy-two billion, one hundred fifty-two million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 461 470 752 922 940 1844 1880 2305 3688 3760 4610 7376 9220 18440 21667 36880 43334 86668 99317 108335 173336 198634 216670 346672 397268 433340 496585 794536 866680 993170 1589072 1733360 1986340 3972680 4667899 7945360 9335798 18671596 23339495 37343192 45785137 46678990 74686384 91570274 93357980 183140548 186715960 228925685 366281096 373431920 457851370 732562192 915702740 1831405480 2151901439 3662810960 4303802878 8607605756 10759507195 17215211512 21519014390 34430423024 43038028780 86076057560 172152115120