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161601454080 = 2153751141
BaseRepresentation
bin1001011010000000110…
…0101000000000000000
3120110010021122110000000
42112200030220000000
510121424433012310
6202123320000000
714450430460353
oct2264014500000
9513107573000
10161601454080
1162597898330
12273a0000000
1312314c914a1
147b704a629a
15430c3774c0
hex25a0328000

161601454080 has 1024 divisors, whose sum is σ = 650023315200. Its totient is φ = 38220595200.

The previous prime is 161601454043. The next prime is 161601454081. The reversal of 161601454080 is 80454106161.

161601454080 is a `hidden beast` number, since 1 + 6 + 1 + 601 + 4 + 5 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×1616014540802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (161601454081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3941498860 + ... + 3941498900.

Almost surely, 2161601454080 is an apocalyptic number.

161601454080 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 161601454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325011657600).

161601454080 is an abundant number, since it is smaller than the sum of its proper divisors (488421861120).

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

161601454080 is an frugal number, since it uses more digits than its factorization.

161601454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 161601454080 in words is "one hundred sixty-one billion, six hundred one million, four hundred fifty-four thousand, eighty".