Search a number
-
+
74779953498680 = 235172411693269527
BaseRepresentation
bin10001000000001100010000…
…100100001000101000111000
3100210202220010112102102122112
4101000030100210020220320
534300143321043424210
6423013234131511452
721515446650011003
oct2100142044105070
9323686115372575
1074779953498680
1121911000271321
128478a33158588
1332959475723b1
1414675249bc53a
1589a2e8dddd05
hex440310908a38

74779953498680 has 128 divisors (see below), whose sum is σ = 178997792561280. Its totient is φ = 28018974228480.

The previous prime is 74779953498673. The next prime is 74779953498707. The reversal of 74779953498680 is 8689435997747.

It is a junction number, because it is equal to n+sod(n) for n = 74779953498592 and 74779953498601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277314077 + ... + 277583603.

It is an arithmetic number, because the mean of its divisors is an integer number (1398420254385).

Almost surely, 274779953498680 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 74779953498680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89498896280640).

74779953498680 is an abundant number, since it is smaller than the sum of its proper divisors (104217839062600).

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

74779953498680 is a wasteful number, since it uses less digits than its factorization.

74779953498680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271489 (or 271485 counting only the distinct ones).

The product of its (nonzero) digits is 23044331520, while the sum is 86.

The spelling of 74779953498680 in words is "seventy-four trillion, seven hundred seventy-nine billion, nine hundred fifty-three million, four hundred ninety-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 241 340 482 680 964 1205 1693 1928 2410 3386 4097 4820 6772 8194 8465 9640 13544 16388 16930 20485 28781 32776 33860 40970 57562 67720 81940 115124 143905 163880 230248 269527 287810 408013 539054 575620 816026 1078108 1151240 1347635 1632052 2040065 2156216 2695270 3264104 4080130 4581959 5390540 6936221 8160260 9163918 10781080 13872442 16320520 18327836 22909795 27744884 34681105 36655672 45819590 55489768 64956007 69362210 91639180 129912014 138724420 183278360 259824028 277448840 324780035 456309211 519648056 649560070 912618422 1104252119 1299120140 1825236844 2208504238 2281546055 2598240280 3650473688 4417008476 4563092110 5521260595 7757256587 8834016952 9126184220 11042521190 15514513174 18252368440 22085042380 31029026348 38786282935 44170084760 62058052696 77572565870 109970519851 155145131740 219941039702 310290263480 439882079404 549852599255 879764158808 1099705198510 1869498837467 2199410397020 3738997674934 4398820794040 7477995349868 9347494187335 14955990699736 18694988374670 37389976749340 74779953498680