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137110069095080 = 235233135411357669
BaseRepresentation
bin11111001011001101101100…
…111101101010101010101000
3122222110121001110101122011012
4133023031230331222222220
5120432402410142020310
61203335255102123052
740610606220636554
oct3713155475525250
9588417043348135
10137110069095080
113a762065608854
1213464a24880488
135b675687c0373
1425c023c842864
1510cb832e8cc05
hex7cb36cf6aaa8

137110069095080 has 128 divisors (see below), whose sum is σ = 332388896716800. Its totient is φ = 50752888243200.

The previous prime is 137110069095073. The next prime is 137110069095119. The reversal of 137110069095080 is 80590960011731.

It is a super-2 number, since 2×1371100690950802 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100310486 + ... + 101668154.

It is an arithmetic number, because the mean of its divisors is an integer number (2596788255600).

Almost surely, 2137110069095080 is an apocalyptic number.

137110069095080 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 137110069095080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166194448358400).

137110069095080 is an abundant number, since it is smaller than the sum of its proper divisors (195278827621720).

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

137110069095080 is a wasteful number, since it uses less digits than its factorization.

137110069095080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361275 (or 1361271 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 50.

The spelling of 137110069095080 in words is "one hundred thirty-seven trillion, one hundred ten billion, sixty-nine million, ninety-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 620 713 920 1240 1426 2852 3541 3565 5704 7082 7130 14164 14260 17705 28328 28520 35410 70820 81443 109771 141640 162886 219542 325772 407215 439084 548855 651544 814430 878168 1097710 1357669 1628860 2195420 2524733 2715338 3257720 4390840 5049466 5430676 6788345 10098932 10861352 12623665 13576690 20197864 25247330 27153380 31226387 42087739 50494660 54306760 62452774 84175478 100989320 124905548 156131935 168350956 210438695 249811096 312263870 336701912 420877390 624527740 841754780 968017997 1249055480 1683509560 1936035994 3872071988 4807505929 4840089985 7744143976 9615011858 9680179970 19230023716 19360359940 24037529645 38460047432 38720719880 48075059290 96150118580 110572636367 149032683799 192300237160 221145272734 298065367598 442290545468 552863181835 596130735196 745163418995 884581090936 1105726363670 1192261470392 1490326837990 2211452727340 2980653675980 3427751727377 4422905454680 5961307351960 6855503454754 13711006909508 17138758636885 27422013819016 34277517273770 68555034547540 137110069095080