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83738048700 = 223527919318307
BaseRepresentation
bin100110111111100101…
…1010011100010111100
322000010211220121211010
41031333023103202330
52332443420024300
6102245124555220
76023051445525
oct1157713234274
9260124817733
1083738048700
1132570a44429
121428b852b10
137b866bb057
1440a53c184c
1522a174da50
hex137f2d38bc

83738048700 has 144 divisors (see below), whose sum is σ = 246633658880. Its totient is φ = 21932052480.

The previous prime is 83738048677. The next prime is 83738048701. The reversal of 83738048700 is 784083738.

It is a self number, because there is not a number n which added to its sum of digits gives 83738048700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83738048701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4564947 + ... + 4583253.

Almost surely, 283738048700 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 83738048700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123316829440).

83738048700 is an abundant number, since it is smaller than the sum of its proper divisors (162895610180).

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

83738048700 is a wasteful number, since it uses less digits than its factorization.

83738048700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18596 (or 18589 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 83738048700 in words is "eighty-three billion, seven hundred thirty-eight million, forty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 193 237 300 316 386 395 474 579 772 790 948 965 1158 1185 1580 1930 1975 2316 2370 2895 3860 3950 4740 4825 5790 5925 7900 9650 11580 11850 14475 15247 18307 19300 23700 28950 30494 36614 45741 54921 57900 60988 73228 76235 91482 91535 109842 152470 182964 183070 219684 228705 274605 304940 366140 381175 457410 457675 549210 762350 914820 915350 1098420 1143525 1373025 1446253 1524700 1830700 2287050 2746050 2892506 3533251 4338759 4574100 5492100 5785012 7066502 7231265 8677518 10599753 14133004 14462530 17355036 17666255 21199506 21693795 28925060 35332510 36156325 42399012 43387590 52998765 70665020 72312650 86775180 88331275 105997530 108468975 144625300 176662550 211995060 216937950 264993825 279126829 353325100 433875900 529987650 558253658 837380487 1059975300 1116507316 1395634145 1674760974 2791268290 3349521948 4186902435 5582536580 6978170725 8373804870 13956341450 16747609740 20934512175 27912682900 41869024350 83738048700