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72061332542144 = 2611297149713379
BaseRepresentation
bin10000011000101000010110…
…001000001101001011000000
3100110010222220011110120200122
4100120220112020031023000
533421123102112322034
6413132304045435412
721115154666113241
oct2030502610151300
9313128804416618
1072061332542144
1120a63048648670
1280b9b7656bb68
13312947bab831a
1413b1b03b5acc8
1584e7321e362e
hex418a1620d2c0

72061332542144 has 112 divisors (see below), whose sum is σ = 163648492819200. Its totient is φ = 31180230681600.

The previous prime is 72061332542113. The next prime is 72061332542161. The reversal of 72061332542144 is 44124523316027.

It is a happy number.

It is a super-2 number, since 2×720613325421442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 72061332542095 and 72061332542104.

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, 23407154 + ... + 26306225.

Almost surely, 272061332542144 is an apocalyptic number.

It is an amenable number.

72061332542144 is an abundant number, since it is smaller than the sum of its proper divisors (91587160277056).

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

72061332542144 is a wasteful number, since it uses less digits than its factorization.

72061332542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49713502 (or 49713492 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 72061332542144 in words is "seventy-two trillion, sixty-one billion, three hundred thirty-two million, five hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 71 88 116 142 176 232 284 319 352 464 568 638 704 781 928 1136 1276 1562 1856 2059 2272 2552 3124 4118 4544 5104 6248 8236 10208 12496 16472 20416 22649 24992 32944 45298 49984 65888 90596 131776 181192 362384 724768 1449536 49713379 99426758 198853516 397707032 546847169 795414064 1093694338 1441687991 1590828128 2187388676 2883375982 3181656256 3529649909 4374777352 5766751964 7059299818 8749554704 11533503928 14118599636 15858567901 17499109408 23067007856 28237199272 31717135802 34998218816 38826148999 46134015712 56474398544 63434271604 77652297998 92268031424 102359847361 112948797088 126868543208 155304595996 204719694722 225897594176 253737086416 310609191992 409439389444 507474172832 621218383984 818878778888 1014948345664 1125958320971 1242436767968 1637757557776 2251916641942 2484873535936 3275515115552 4503833283884 6551030231104 9007666567768 18015333135536 36030666271072 72061332542144