Search a number
-
+
156206632017120 = 25353081411056109
BaseRepresentation
bin100011100001000110110000…
…110100000001110011100000
3202111002012121202121101222220
4203201012300310001303200
5130433242140244021440
61312120200332231040
744621361650345466
oct4341066064016340
9674065552541886
10156206632017120
11458549515254a3
1215629a8500b480
1369212b720c659
142a80627018836
15130d45dbb88d0
hex8e11b0d01ce0

156206632017120 has 96 divisors (see below), whose sum is σ = 492052953601440. Its totient is φ = 41654927247360.

The previous prime is 156206632017049. The next prime is 156206632017179. The reversal of 156206632017120 is 21710236602651.

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

It is a super-2 number, since 2×1562066320171202 (a number of 29 digits) contains 22 as substring.

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, 147379626 + ... + 148435734.

It is an arithmetic number, because the mean of its divisors is an integer number (5125551600015).

Almost surely, 2156206632017120 is an apocalyptic number.

156206632017120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

156206632017120 is an abundant number, since it is smaller than the sum of its proper divisors (335846321584320).

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

156206632017120 is a wasteful number, since it uses less digits than its factorization.

156206632017120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364268 (or 1364260 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

Adding to 156206632017120 its reverse (21710236602651), we get a palindrome (177916868619771).

The spelling of 156206632017120 in words is "one hundred fifty-six trillion, two hundred six billion, six hundred thirty-two million, seventeen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 308141 616282 924423 1056109 1232564 1540705 1848846 2112218 2465128 3081410 3168327 3697692 4224436 4622115 4930256 5280545 6162820 6336654 7395384 8448872 9244230 9860512 10561090 12325640 12673308 14790768 15841635 16897744 18488460 21122180 24651280 25346616 29581536 31683270 33795488 36976920 42244360 49302560 50693232 63366540 73953840 84488720 101386464 126733080 147907680 168977440 253466160 506932320 325430483369 650860966738 976291450107 1301721933476 1627152416845 1952582900214 2603443866952 3254304833690 3905165800428 4881457250535 5206887733904 6508609667380 7810331600856 9762914501070 10413775467808 13017219334760 15620663201712 19525829002140 26034438669520 31241326403424 39051658004280 52068877339040 78103316008560 156206632017120