Search a number
-
+
161603153664 = 2831657126989
BaseRepresentation
bin1001011010000001001…
…1000110111100000000
3120110010101211210101120
42112200103012330000
510121430401404124
6202123420232240
714450451066411
oct2264023067400
9513111753346
10161603153664
1162598849247
12273a069b680
1312315437c64
147b707c9808
15430c5b0d79
hex25a04c6f00

161603153664 has 72 divisors (see below), whose sum is σ = 430363014480. Its totient is φ = 53834784768.

The previous prime is 161603153639. The next prime is 161603153681. The reversal of 161603153664 is 466351306161.

It is a super-2 number, since 2×1616031536642 (a number of 23 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 7 ways as a sum of consecutive naturals, for example, 1209082 + ... + 1336070.

It is an arithmetic number, because the mean of its divisors is an integer number (5977264090).

Almost surely, 2161603153664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161603153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215181507240).

161603153664 is an abundant number, since it is smaller than the sum of its proper divisors (268759860816).

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

161603153664 is a wasteful number, since it uses less digits than its factorization.

161603153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128665 (or 128651 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 161603153664 in words is "one hundred sixty-one billion, six hundred three million, one hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1657 3314 4971 6628 9942 13256 19884 26512 39768 53024 79536 106048 126989 159072 212096 253978 318144 380967 424192 507956 636288 761934 1015912 1272576 1523868 2031824 3047736 4063648 6095472 8127296 12190944 16254592 24381888 32509184 48763776 97527552 210420773 420841546 631262319 841683092 1262524638 1683366184 2525049276 3366732368 5050098552 6733464736 10100197104 13466929472 20200394208 26933858944 40400788416 53867717888 80801576832 161603153664