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7162121000034 = 2347111344166457
BaseRepresentation
bin110100000111000111110…
…1011011001010001100010
3221100200200112020002110000
41220032033223121101202
51414321010434000114
623122122153120430
71336306015013040
oct150161753312142
927320615202400
107162121000034
1123114906521a0
129780979b9116
133cc501126750
141aa911701390
15c64834a0e09
hex6838fad9462

7162121000034 has 160 divisors (see below), whose sum is σ = 21547578197376. Its totient is φ = 1717191809280.

The previous prime is 7162120999973. The next prime is 7162121000057. The reversal of 7162121000034 is 4300001212617.

7162121000034 is a `hidden beast` number, since 7 + 1 + 621 + 2 + 1 + 0 + 0 + 0 + 0 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7162120999971 and 7162121000007.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21921067 + ... + 22245390.

Almost surely, 27162121000034 is an apocalyptic number.

7162121000034 is an abundant number, since it is smaller than the sum of its proper divisors (14385457197342).

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

7162121000034 is a wasteful number, since it uses less digits than its factorization.

7162121000034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44166502 (or 44166493 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 7162121000034 in words is "seven trillion, one hundred sixty-two billion, one hundred twenty-one million, thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 81 91 99 117 126 143 154 162 182 189 198 231 234 273 286 297 351 378 429 462 546 567 594 693 702 819 858 891 1001 1053 1134 1287 1386 1638 1782 2002 2079 2106 2457 2574 3003 3861 4158 4914 6006 6237 7371 7722 9009 11583 12474 14742 18018 23166 27027 54054 81081 162162 44166457 88332914 132499371 264998742 309165199 397498113 485831027 574163941 618330398 794996226 927495597 971662054 1148327882 1192494339 1457493081 1722491823 1854991194 2384988678 2782486791 2914986162 3400817189 3444983646 3577483017 4019147587 4372479243 5167475469 5564973582 6315803351 6801634378 7154966034 8038295174 8347460373 8744958486 10202451567 10334950938 12057442761 12631606702 13117437729 15502426407 16694920746 18947410053 20404903134 24114885522 25042381119 26234875458 30607354701 31004852814 36172328283 37894820106 39352313187 44210623457 46507279221 50084762238 56842230159 61214709402 72344656566 78704626374 88421246914 91822064103 93014558442 108516984849 113684460318 132631870371 170526690477 183644128206 217033969698 265263740742 275466192309 325550954547 341053380954 397895611113 511580071431 550932384618 651101909094 795791222226 1023160142862 1193686833339 2387373666678 3581060500017 7162121000034