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61632223640 = 235131759118169
BaseRepresentation
bin111001011001100100…
…010001100110011000
312220002020220100122122
4321121210101212120
52002210322124030
644151412240412
74311206154131
oct713144214630
9186066810578
1061632223640
1124157868919
12bb40610108
135a729660b0
142da9574c88
15190abb98e5
hexe59911998

61632223640 has 128 divisors (see below), whose sum is σ = 160805736000. Its totient is φ = 21054701568.

The previous prime is 61632223621. The next prime is 61632223649. The reversal of 61632223640 is 4632223616.

It is a self number, because there is not a number n which added to its sum of digits gives 61632223640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61632223649) 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, 462476 + ... + 580644.

Almost surely, 261632223640 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 61632223640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80402868000).

61632223640 is an abundant number, since it is smaller than the sum of its proper divisors (99173512360).

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

61632223640 is a wasteful number, since it uses less digits than its factorization.

61632223640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118269 (or 118265 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 61632223640 in words is "sixty-one billion, six hundred thirty-two million, two hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 59 65 68 85 104 118 130 136 170 221 236 260 295 340 442 472 520 590 680 767 884 1003 1105 1180 1534 1768 2006 2210 2360 3068 3835 4012 4420 5015 6136 7670 8024 8840 10030 13039 15340 20060 26078 30680 40120 52156 65195 104312 118169 130390 236338 260780 472676 521560 590845 945352 1181690 1536197 2008873 2363380 3072394 4017746 4726760 6144788 6971971 7680985 8035492 10044365 12289576 13943942 15361970 16070984 20088730 26115349 27887884 30723940 34859855 40177460 52230698 55775768 61447880 69719710 80354920 90635623 104461396 118523507 130576745 139439420 181271246 208922792 237047014 261153490 278878840 362542492 453178115 474094028 522306980 592617535 725084984 906356230 948188056 1044613960 1185235070 1540805591 1812712460 2370470140 3081611182 3625424920 4740940280 6163222364 7704027955 12326444728 15408055910 30816111820 61632223640