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47979705840 = 243511110316477
BaseRepresentation
bin101100101011110100…
…000011010111110000
311120211210021121001020
4230223310003113300
51241230301041330
634012551335440
73315660525213
oct545364032760
9146753247036
1047979705840
1119391325160
129370381580
1346a833b3b1
1424722b177a
1513ac324210
hexb2bd035f0

47979705840 has 160 divisors (see below), whose sum is σ = 162415604736. Its totient is φ = 11620193280.

The previous prime is 47979705821. The next prime is 47979705853. The reversal of 47979705840 is 4850797974.

47979705840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2903682 + ... + 2920158.

Almost surely, 247979705840 is an apocalyptic number.

47979705840 is a gapful number since it is divisible by the number (40) 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 47979705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81207802368).

47979705840 is an abundant number, since it is smaller than the sum of its proper divisors (114435898896).

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

47979705840 is a wasteful number, since it uses less digits than its factorization.

47979705840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17607 (or 17601 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 47979705840 in words is "forty-seven billion, nine hundred seventy-nine million, seven hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1103 1320 2206 2640 3309 4412 5515 6618 8824 11030 12133 13236 16477 16545 17648 22060 24266 26472 32954 33090 36399 44120 48532 49431 52944 60665 65908 66180 72798 82385 88240 97064 98862 121330 131816 132360 145596 164770 181247 181995 194128 197724 242660 247155 263632 264720 291192 329540 362494 363990 395448 485320 494310 543741 582384 659080 724988 727980 790896 906235 970640 988620 1087482 1318160 1449976 1455960 1812470 1977240 2174964 2718705 2899952 2911920 3624940 3954480 4349928 5437410 7249880 8699856 10874820 14499760 18174131 21749640 36348262 43499280 54522393 72696524 90870655 109044786 145393048 181741310 199915441 218089572 272611965 290786096 363482620 399830882 436179144 545223930 599746323 726965240 799661764 872358288 999577205 1090447860 1199492646 1453930480 1599323528 1999154410 2180895720 2398985292 2998731615 3198647056 3998308820 4361791440 4797970584 5997463230 7996617640 9595941168 11994926460 15993235280 23989852920 47979705840