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61404320625640 = 23523263607418087
BaseRepresentation
bin11011111011000110011101…
…01101111111001111101000
322001102012021200101211120221
431331203032231333033220
531022022022040010030
6334332431103055424
715635213210334616
oct1575431655771750
9261365250354527
1061404320625640
1118624476205393
126a7869a8a1574
132835530646985
141123db0ab86b6
157174021bce7a
hex37d8ceb7f3e8

61404320625640 has 128 divisors (see below), whose sum is σ = 144953584680960. Its totient is φ = 23365883337984.

The previous prime is 61404320625611. The next prime is 61404320625647. The reversal of 61404320625640 is 4652602340416.

It is not an unprimeable number, because it can be changed into a prime (61404320625647) 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, 146660677 + ... + 147078763.

It is an arithmetic number, because the mean of its divisors is an integer number (1132449880320).

Almost surely, 261404320625640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61404320625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72476792340480).

61404320625640 is an abundant number, since it is smaller than the sum of its proper divisors (83549264055320).

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

61404320625640 is a wasteful number, since it uses less digits than its factorization.

61404320625640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418991 (or 418987 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 61404320625640 in words is "sixty-one trillion, four hundred four billion, three hundred twenty million, six hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 263 460 526 607 920 1052 1214 1315 2104 2428 2630 3035 4856 5260 6049 6070 10520 12098 12140 13961 24196 24280 27922 30245 48392 55844 60490 69805 111688 120980 139610 159641 241960 279220 319282 418087 558440 638564 798205 836174 1277128 1596410 1672348 2090435 3192820 3344696 3671743 4180870 6385640 7343486 8361740 9616001 14686972 16723480 18358715 19232002 29373944 36717430 38464004 48080005 73434860 76928008 96160010 109956881 146869720 192320020 219913762 253778809 384640040 439827524 507557618 549784405 879655048 1015115236 1099568810 1268894045 2030230472 2199137620 2529008263 2537788090 4398275240 5058016526 5075576180 5836912607 10116033052 10151152360 11673825214 12645041315 20232066104 23347650428 25290082630 29184563035 46695300856 50580165260 58369126070 66743826767 101160330520 116738252140 133487653534 233476504280 266975307068 333719133835 533950614136 667438267670 1334876535340 1535108015641 2669753070680 3070216031282 6140432062564 7675540078205 12280864125128 15351080156410 30702160312820 61404320625640