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64121310001032 = 233192931156414803
BaseRepresentation
bin11101001010001011001111…
…11001111011011110001000
322102000221022100020202222120
432211011213321323132020
531401030420330013112
6344212531222451240
716335416560100124
oct1645054771733610
9272027270222876
1064121310001032
1119481770946a79
127237180b93b20
1329a17c908b40b
1411b96b8d84584
15762e20a2be8c
hex3a5167e7b788

64121310001032 has 128 divisors (see below), whose sum is σ = 180189854208000. Its totient is φ = 18919934449920.

The previous prime is 64121310000997. The next prime is 64121310001033. The reversal of 64121310001032 is 23010001312146.

It is a happy number.

It is a super-2 number, since 2×641213100010322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 64121310000993 and 64121310001011.

It is not an unprimeable number, because it can be changed into a prime (64121310001033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77797458 + ... + 78617345.

It is an arithmetic number, because the mean of its divisors is an integer number (1407733236000).

Almost surely, 264121310001032 is an apocalyptic number.

64121310001032 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

64121310001032 is an abundant number, since it is smaller than the sum of its proper divisors (116068544206968).

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

64121310001032 is a wasteful number, since it uses less digits than its factorization.

64121310001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156414891 (or 156414887 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 64121310001032 its reverse (23010001312146), we get a palindrome (87131311313178).

The spelling of 64121310001032 in words is "sixty-four trillion, one hundred twenty-one billion, three hundred ten million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 29 31 38 57 58 62 76 87 93 114 116 124 152 174 186 228 232 248 348 372 456 551 589 696 744 899 1102 1178 1653 1767 1798 2204 2356 2697 3306 3534 3596 4408 4712 5394 6612 7068 7192 10788 13224 14136 17081 21576 34162 51243 68324 102486 136648 204972 409944 156414803 312829606 469244409 625659212 938488818 1251318424 1876977636 2971881257 3753955272 4536029287 4848858893 5943762514 8915643771 9072058574 9697717786 11887525028 13608087861 14546576679 17831287542 18144117148 19395435572 23775050056 27216175722 29093153358 35662575084 36288234296 38790871144 54432351444 58186306716 71325150168 86184556453 92128318967 108864702888 116372613432 140616907897 172369112906 184256637934 258553669359 276384956901 281233815794 344738225812 368513275868 421850723691 517107338718 552769913802 562467631588 689476451624 737026551736 843701447382 1034214677436 1105539827604 1124935263176 1687402894764 2068429354872 2211079655208 2671721250043 3374805789528 5343442500086 8015163750129 10686885000172 16030327500258 21373770000344 32060655000516 64121310001032