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61809630720 = 293537217517
BaseRepresentation
bin111001100100001001…
…000001111000000000
312220112121201120102020
4321210021001320000
52003041231140340
644221150521440
74315462123005
oct714411017000
9186477646366
1061809630720
1124238a1a442
12bb8bb06280
135aa063c9b6
142dc4d558ac
15191b55e9d0
hexe64241e00

61809630720 has 160 divisors (see below), whose sum is σ = 202939073568. Its totient is φ = 16037019648.

The previous prime is 61809630713. The next prime is 61809630749. The reversal of 61809630720 is 2703690816.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175402 + ... + 392918.

Almost surely, 261809630720 is an apocalyptic number.

61809630720 is a gapful number since it is divisible by the number (60) 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 61809630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101469536784).

61809630720 is an abundant number, since it is smaller than the sum of its proper divisors (141129442848).

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

61809630720 is a wasteful number, since it uses less digits than its factorization.

61809630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217580 (or 217564 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 61809630720 in words is "sixty-one billion, eight hundred nine million, six hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 512 555 592 640 740 768 888 960 1110 1184 1280 1480 1536 1776 1920 2220 2368 2560 2960 3552 3840 4440 4736 5920 7104 7680 8880 9472 11840 14208 17760 18944 23680 28416 35520 47360 56832 71040 94720 142080 217517 284160 435034 652551 870068 1087585 1305102 1740136 2175170 2610204 3262755 3480272 4350340 5220408 6525510 6960544 8048129 8700680 10440816 13051020 13921088 16096258 17401360 20881632 24144387 26102040 27842176 32192516 34802720 40240645 41763264 48288774 52204080 55684352 64385032 69605440 80481290 83526528 96577548 104408160 111368704 120721935 128770064 139210880 160962580 167053056 193155096 208816320 241443870 257540128 278421760 321925160 334106112 386310192 417632640 482887740 515080256 556843520 643850320 772620384 835265280 965775480 1030160512 1287700640 1545240768 1670530560 1931550960 2060321024 2575401280 3090481536 3863101920 4120642048 5150802560 6180963072 7726203840 10301605120 12361926144 15452407680 20603210240 30904815360 61809630720