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507247742704 = 2417191391913697
BaseRepresentation
bin1110110000110100101…
…00100100111011110000
31210111021222010012010111
413120122110210323300
531302320410231304
61025005411311104
751435033446503
oct7303224447360
91714258105114
10507247742704
111861391438aa
12823842ab494
1338aaa885b21
141a79da2d13a
15d2dc087704
hex761a524ef0

507247742704 has 160 divisors (see below), whose sum is σ = 1109328998400. Its totient is φ = 223278612480.

The previous prime is 507247742699. The next prime is 507247742747. The reversal of 507247742704 is 407247742705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137203384 + ... + 137207080.

It is an arithmetic number, because the mean of its divisors is an integer number (6933306240).

Almost surely, 2507247742704 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 507247742704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554664499200).

507247742704 is an abundant number, since it is smaller than the sum of its proper divisors (602081255696).

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

507247742704 is a wasteful number, since it uses less digits than its factorization.

507247742704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 3073280, while the sum is 49.

Subtracting from 507247742704 its reverse (407247742705), we obtain a palindrome (99999999999).

The spelling of 507247742704 in words is "five hundred seven billion, two hundred forty-seven million, seven hundred forty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 139 152 191 272 278 304 323 382 556 646 764 1112 1292 1528 2224 2363 2584 2641 3056 3247 3629 3697 4726 5168 5282 6494 7258 7394 9452 10564 12988 14516 14788 18904 21128 25976 26549 29032 29576 37808 42256 44897 51952 53098 58064 59152 61693 62849 70243 89794 106196 123386 125698 140486 179588 212392 246772 251396 280972 359176 424784 451333 493544 502792 504431 513883 561944 706127 718352 902666 987088 1005584 1008862 1027766 1123888 1194131 1412254 1805332 2017724 2055532 2388262 2824508 3610664 4035448 4111064 4776524 5649016 7221328 8070896 8222128 8575327 8736011 9553048 9763777 11298032 12004159 13416413 17150654 17472022 19106096 19527554 24008318 26832826 34301308 34944044 39055108 48016636 53665652 68602616 69888088 78110216 96033272 98151653 107331304 137205232 139776176 156220432 165984209 192066544 196303306 214662608 228079021 331968418 392606612 456158042 663936836 785213224 912316084 1327873672 1570426448 1668578101 1824632168 1864881407 2655747344 3337156202 3649264336 3729762814 6674312404 7459525628 13348624808 14919051256 26697249616 29838102512 31702983919 63405967838 126811935676 253623871352 507247742704