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161501946976 = 25174343915727
BaseRepresentation
bin1001011001101001000…
…1000010010001100000
3120102212100101221220201
42112122101002101200
510121223444300401
6202105403114544
714445111620236
oct2263221022140
9512770357821
10161501946976
1162546703157
1227372812a54
13122ca491146
147b611a2956
15430376db01
hex259a442460

161501946976 has 96 divisors (see below), whose sum is σ = 345296286720. Its totient is φ = 74059646976.

The previous prime is 161501946941. The next prime is 161501946979. The reversal of 161501946976 is 679649105161.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161501946979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10261225 + ... + 10276951.

It is an arithmetic number, because the mean of its divisors is an integer number (3596836320).

Almost surely, 2161501946976 is an apocalyptic number.

161501946976 is a gapful number since it is divisible by the number (16) 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 161501946976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172648143360).

161501946976 is an abundant number, since it is smaller than the sum of its proper divisors (183794339744).

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

161501946976 is a wasteful number, since it uses less digits than its factorization.

161501946976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16236 (or 16228 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 55.

The spelling of 161501946976 in words is "one hundred sixty-one billion, five hundred one million, nine hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 272 344 439 544 688 731 878 1376 1462 1756 2924 3512 5848 7024 7463 11696 14048 14926 15727 18877 23392 29852 31454 37754 59704 62908 75508 119408 125816 151016 238816 251632 267359 302032 320909 503264 534718 604064 641818 676261 1069436 1283636 1352522 2138872 2567272 2705044 4277744 5134544 5410088 6904153 8555488 10269088 10820176 11496437 13808306 21640352 22992874 27616612 45985748 55233224 91971496 110466448 117370601 183942992 220932896 234741202 296878579 367885984 469482404 593757158 938964808 1187514316 1877929616 2375028632 3755859232 4750057264 5046935843 9500114528 10093871686 20187743372 40375486744 80750973488 161501946976