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161379737312 = 25295315720899
BaseRepresentation
bin1001011001001011111…
…0110101111011100000
3120102112211110001202212
42112102332311323200
510121001203043222
6202045315501252
714442066063653
oct2262276657340
9512484401685
10161379737312
1162493722232
12273398b7828
13122ab072531
147b4cc6d89a
1542e7b7d6e2
hex2592fb5ee0

161379737312 has 96 divisors (see below), whose sum is σ = 337022532000. Its totient is φ = 75947010048.

The previous prime is 161379737303. The next prime is 161379737329. The reversal of 161379737312 is 213737973161.

It is a super-2 number, since 2×1613797373122 (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 15 ways as a sum of consecutive naturals, for example, 7711439 + ... + 7732337.

It is an arithmetic number, because the mean of its divisors is an integer number (3510651375).

Almost surely, 2161379737312 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 161379737312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168511266000).

161379737312 is an abundant number, since it is smaller than the sum of its proper divisors (175642794688).

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

161379737312 is a wasteful number, since it uses less digits than its factorization.

161379737312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21148 (or 21140 counting only the distinct ones).

The product of its digits is 1000188, while the sum is 50.

The spelling of 161379737312 in words is "one hundred sixty-one billion, three hundred seventy-nine million, seven hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 53 58 106 116 157 212 232 314 424 464 628 848 928 1256 1537 1696 2512 3074 4553 5024 6148 8321 9106 12296 16642 18212 20899 24592 33284 36424 41798 49184 66568 72848 83596 133136 145696 167192 241309 266272 334384 482618 606071 668768 965236 1107647 1212142 1930472 2215294 2424284 3281143 3860944 4430588 4848568 6562286 7721888 8861176 9697136 13124572 17722352 19394272 26249144 32121763 35444704 52498288 64243526 95153147 104996576 128487052 173900579 190306294 256974104 347801158 380612588 513948208 695602316 761225176 1027896416 1391204632 1522450352 2782409264 3044900704 5043116791 5564818528 10086233582 20172467164 40344934328 80689868656 161379737312