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84331507448 = 23193197307601
BaseRepresentation
bin100111010001010001…
…1001010111011111000
322001200012121110011202
41032202203022323320
52340202331214243
6102424044513332
76043545662126
oct1164243127370
9261605543152
1084331507448
1132845a34801
121441654b848
137c4c636486
144120144916
1522d88c84b8
hex13a28caef8

84331507448 has 128 divisors (see below), whose sum is σ = 174439372800. Its totient is φ = 38071296000.

The previous prime is 84331507441. The next prime is 84331507459. The reversal of 84331507448 is 84470513348.

It is a super-2 number, since 2×843315074482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84331507441) by changing a digit.

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, 140318348 + ... + 140318948.

It is an arithmetic number, because the mean of its divisors is an integer number (1362807600).

Almost surely, 284331507448 is an apocalyptic number.

It is an amenable number.

84331507448 is an abundant number, since it is smaller than the sum of its proper divisors (90107865352).

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

84331507448 is a wasteful number, since it uses less digits than its factorization.

84331507448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 84331507448 in words is "eighty-four billion, three hundred thirty-one million, five hundred seven thousand, four hundred forty-eight".

Divisors: 1 2 4 8 19 31 38 62 76 97 124 152 194 248 307 388 589 601 614 776 1178 1202 1228 1843 2356 2404 2456 3007 3686 4712 4808 5833 6014 7372 9517 11419 11666 12028 14744 18631 19034 22838 23332 24056 29779 37262 38068 45676 46664 57133 58297 59558 74524 76136 91352 114266 116594 119116 149048 180823 184507 228532 233188 238232 353989 361646 369014 457064 466376 565801 707978 723292 738028 923149 1107643 1131602 1415956 1446584 1476056 1807207 1846298 2215286 2263204 2831912 3505633 3614414 3692596 4430572 4526408 5719717 7011266 7228828 7385192 8861144 11439434 14022532 14457656 17539831 17897179 22878868 28045064 34336933 35079662 35794358 45757736 68673866 70159324 71588716 108674623 137347732 140318648 143177432 217349246 274695464 340046401 434698492 554812549 680092802 869396984 1109625098 1360185604 2219250196 2720371208 4438500392 10541438431 21082876862 42165753724 84331507448