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61977794790 = 23523127970229
BaseRepresentation
bin111001101110001010…
…100001100011100110
312220222100011012011010
4321232022201203212
52003412303413130
644245555123050
74322603364162
oct715612414346
9186870135133
1061977794790
112431493860a
12100182a3486
135ac942b472
142ddd40bca2
15192b1cb0b0
hexe6e2a18e6

61977794790 has 64 divisors (see below), whose sum is σ = 155337523200. Its totient is φ = 15796243584.

The previous prime is 61977794737. The next prime is 61977794807. The reversal of 61977794790 is 9749777916.

61977794790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×619777947902 (a number of 22 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 31 ways as a sum of consecutive naturals, for example, 847396 + ... + 917624.

It is an arithmetic number, because the mean of its divisors is an integer number (2427148800).

Almost surely, 261977794790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61977794790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77668761600).

61977794790 is an abundant number, since it is smaller than the sum of its proper divisors (93359728410).

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

61977794790 is a wasteful number, since it uses less digits than its factorization.

61977794790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71541.

The product of its (nonzero) digits is 42007896, while the sum is 66.

The spelling of 61977794790 in words is "sixty-one billion, nine hundred seventy-seven million, seven hundred ninety-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1279 2558 3837 6395 7674 12790 19185 29417 38370 58834 70229 88251 140458 147085 176502 210687 294170 351145 421374 441255 702290 882510 1053435 1615267 2106870 3230534 4845801 8076335 9691602 16152670 24229005 48458010 89822891 179645782 269468673 449114455 538937346 898228910 1347343365 2065926493 2694686730 4131852986 6197779479 10329632465 12395558958 20659264930 30988897395 61977794790