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52470941652 = 2232191911932081
BaseRepresentation
bin110000110111100000…
…110000011111010100
312000102210100000100100
4300313200300133110
51324430030113102
640034350214100
73535164434163
oct606740603724
9160383300310
1052470941652
112028652a098
12a2044b4330
134c4296698c
14277a9793da
151571780a1c
hexc378307d4

52470941652 has 144 divisors (see below), whose sum is σ = 141141611520. Its totient is φ = 16389734400.

The previous prime is 52470941639. The next prime is 52470941657. The reversal of 52470941652 is 25614907425.

52470941652 is a `hidden beast` number, since 524 + 70 + 9 + 4 + 1 + 6 + 52 = 666.

It is a super-3 number, since 3×524709416523 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52470941598 and 52470941607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52470941657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25213252 + ... + 25215332.

It is an arithmetic number, because the mean of its divisors is an integer number (980150080).

Almost surely, 252470941652 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 52470941652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70570805760).

52470941652 is an abundant number, since it is smaller than the sum of its proper divisors (88670669868).

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

52470941652 is a wasteful number, since it uses less digits than its factorization.

52470941652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 52470941652 in words is "fifty-two billion, four hundred seventy million, nine hundred forty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 191 193 228 342 382 386 573 579 684 764 772 1146 1158 1719 1737 2081 2292 2316 3438 3474 3629 3667 4162 6243 6876 6948 7258 7334 8324 10887 11001 12486 14516 14668 18729 21774 22002 24972 32661 33003 36863 37458 39539 43548 44004 65322 66006 73726 74916 79078 110589 118617 130644 132012 147452 158156 221178 237234 331767 355851 397471 401633 442356 474468 663534 700397 711702 794942 803266 1192413 1204899 1327068 1400794 1423404 1589884 1606532 2101191 2384826 2409798 2801588 3577239 3614697 4202382 4769652 4819596 6303573 7154478 7229394 7551949 7631027 8404764 12607146 14308956 14458788 15103898 15262054 22655847 22893081 25214292 30207796 30524108 45311694 45786162 67967541 68679243 76711903 90623388 91572324 135935082 137358486 153423806 230135709 271870164 274716972 306847612 460271418 690407127 920542836 1380814254 1457526157 2761628508 2915052314 4372578471 5830104628 8745156942 13117735413 17490313884 26235470826 52470941652