Search a number
-
+
7963225680 = 2435179372083
BaseRepresentation
bin1110110101010010…
…10010111001010000
3202112222012210000110
413122221102321100
5112302041210210
63354103321320
7401223205254
oct73251227120
922488183013
107963225680
113417040353
121662a50240
1399ba38877
14557854264
15319184420
hex1daa52e50

7963225680 has 160 divisors (see below), whose sum is σ = 26178574464. Its totient is φ = 1995522048.

The previous prime is 7963225667. The next prime is 7963225687. The reversal of 7963225680 is 865223697.

It is a super-2 number, since 2×79632256802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7963225687) 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, 3821919 + ... + 3824001.

Almost surely, 27963225680 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 7963225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089287232).

7963225680 is an abundant number, since it is smaller than the sum of its proper divisors (18215348784).

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

7963225680 is a wasteful number, since it uses less digits than its factorization.

7963225680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 7963225680 is about 89236.9076111448. The cubic root of 7963225680 is about 1996.9307656430.

The spelling of 7963225680 in words is "seven billion, nine hundred sixty-three million, two hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 937 1020 1360 1874 2040 2083 2811 3748 4080 4166 4685 5622 6249 7496 8332 9370 10415 11244 12498 14055 14992 15929 16664 18740 20830 22488 24996 28110 31245 31858 33328 35411 37480 41660 44976 47787 49992 56220 62490 63716 70822 74960 79645 83320 95574 99984 106233 112440 124980 127432 141644 159290 166640 177055 191148 212466 224880 238935 249960 254864 283288 318580 354110 382296 424932 477870 499920 531165 566576 637160 708220 764592 849864 955740 1062330 1274320 1416440 1699728 1911480 1951771 2124660 2832880 3822960 3903542 4249320 5855313 7807084 8498640 9758855 11710626 15614168 19517710 23421252 29276565 31228336 33180107 39035420 46842504 58553130 66360214 78070840 93685008 99540321 117106260 132720428 156141680 165900535 199080642 234212520 265440856 331801070 398161284 468425040 497701605 530881712 663602140 796322568 995403210 1327204280 1592645136 1990806420 2654408560 3981612840 7963225680