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42721567647 = 311217431311229
BaseRepresentation
bin100111110010011001…
…110110001110011111
311002021100011111110020
4213302121312032133
51144443210131042
631343115243223
73041452222233
oct476231661637
9132240144406
1042721567647
1117133236100
128343449513
13404ab7ab15
1420d3c165c3
1511a08cc3ec
hex9f267639f

42721567647 has 96 divisors (see below), whose sum is σ = 68409411840. Its totient is φ = 23601177600.

The previous prime is 42721567643. The next prime is 42721567657. The reversal of 42721567647 is 74676512724.

It is not a de Polignac number, because 42721567647 - 22 = 42721567643 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 42721567647.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42721567643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34760629 + ... + 34761857.

It is an arithmetic number, because the mean of its divisors is an integer number (712598040).

Almost surely, 242721567647 is an apocalyptic number.

42721567647 is a deficient number, since it is larger than the sum of its proper divisors (25687844193).

42721567647 is a wasteful number, since it uses less digits than its factorization.

42721567647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1434 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 51.

The spelling of 42721567647 in words is "forty-two billion, seven hundred twenty-one million, five hundred sixty-seven thousand, six hundred forty-seven".

Divisors: 1 3 11 17 33 43 51 121 129 131 187 363 393 473 561 731 1229 1419 1441 2057 2193 2227 3687 4323 5203 5633 6171 6681 8041 13519 15609 15851 16899 20893 24123 24497 40557 47553 52847 61963 62679 73491 88451 95761 148709 158541 160999 185889 229823 265353 269467 287283 446127 482997 581317 681593 689469 808401 898399 1053371 1743951 1770989 2044779 2528053 2695197 2736983 3160113 5312967 6394487 6922957 7584159 8210949 9882389 11587081 19183461 19480879 20768871 29647167 30106813 34761243 58442637 76152527 90320439 108706279 117690269 228457581 326118837 331174943 353070807 837677797 993524829 1294592959 2513033391 3883778877 14240522549 42721567647