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47414477130 = 235172923313759
BaseRepresentation
bin101100001010000111…
…111000000101001010
311112101101201000000120
4230022013320011022
51234101101232010
633440520444110
73265655256126
oct541207700512
9145341630016
1047414477130
1119121266499
129233019636
1346181c8437
14241b1ba586
1513778c3e70
hexb0a1f814a

47414477130 has 128 divisors (see below), whose sum is σ = 125187379200. Its totient is φ = 11439611904.

The previous prime is 47414477107. The next prime is 47414477141. The reversal of 47414477130 is 3177441474.

It is a super-2 number, since 2×474144771302 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3439191 + ... + 3452949.

It is an arithmetic number, because the mean of its divisors is an integer number (978026400).

Almost surely, 247414477130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47414477130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62593689600).

47414477130 is an abundant number, since it is smaller than the sum of its proper divisors (77772902070).

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

47414477130 is a wasteful number, since it uses less digits than its factorization.

47414477130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14048.

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 47414477130 in words is "forty-seven billion, four hundred fourteen million, four hundred seventy-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 233 255 290 435 466 493 510 699 870 986 1165 1398 1479 2330 2465 2958 3495 3961 4930 6757 6990 7395 7922 11883 13514 13759 14790 19805 20271 23766 27518 33785 39610 40542 41277 59415 67570 68795 82554 101355 114869 118830 137590 202710 206385 229738 233903 344607 399011 412770 467806 574345 689214 701709 798022 1148690 1169515 1197033 1403418 1723035 1995055 2339030 2394066 3205847 3446070 3508545 3990110 5985165 6411694 6783187 7017090 9617541 11970330 13566374 16029235 19235082 20349561 32058470 33915935 40699122 48087705 54499399 67831870 92969563 96175410 101747805 108998798 163498197 185939126 203495610 272496995 278908689 326996394 464847815 544993990 557817378 817490985 929695630 1394543445 1580482571 1634981970 2789086890 3160965142 4741447713 7902412855 9482895426 15804825710 23707238565 47414477130